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Finding the Fourth Proportional to 65,199.40, 97,762.65 and 30,095.62

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Solution

The fourth proportional to 65,199.40, 97,762.65 and 30,095.62 is: 45,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,199.40 : 97,762.65 = 30,095.62 : x
  2. Step 2: Convert to fraction form
    65,199.40/97,762.65 = 30,095.62/x
  3. Step 3: Cross multiply
    65,199.40x = 97,762.65 × 30,095.62
  4. Step 4: Simplify right side
    65,199.40x = 2,942,227,564.59
  5. Step 5: Solve for x
    x = 2,942,227,564.59/65,199.40
  6. Step 6: Final answer
    x = 45,126.60

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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.