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Finding the Fourth Proportional to 65,242.44, 97,793.70 and 42,744.62

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Solution

The fourth proportional to 65,242.44, 97,793.70 and 42,744.62 is: 64,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242.44 : 97,793.70 = 42,744.62 : x
  2. Step 2: Convert to fraction form
    65,242.44/97,793.70 = 42,744.62/x
  3. Step 3: Cross multiply
    65,242.44x = 97,793.70 × 42,744.62
  4. Step 4: Simplify right side
    65,242.44x = 4,180,154,547.35
  5. Step 5: Solve for x
    x = 4,180,154,547.35/65,242.44
  6. Step 6: Final answer
    x = 64,071.09

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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.