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Finding the Fourth Proportional to 65,241,971.62, 97,798,315.51 and 30,636,426.06

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Solution

The fourth proportional to 65,241,971.62, 97,798,315.51 and 30,636,426.06 is: 45,924,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,241,971.62 : 97,798,315.51 = 30,636,426.06 : x
  2. Step 2: Convert to fraction form
    65,241,971.62/97,798,315.51 = 30,636,426.06/x
  3. Step 3: Cross multiply
    65,241,971.62x = 97,798,315.51 × 30,636,426.06
  4. Step 4: Simplify right side
    65,241,971.62x = 2,996,190,861,670,170.50
  5. Step 5: Solve for x
    x = 2,996,190,861,670,170.50/65,241,971.62
  6. Step 6: Final answer
    x = 45,924,284.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.