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Finding the Fourth Proportional to 65,066.56, 89,792.57 and 38,209.39

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Solution

The fourth proportional to 65,066.56, 89,792.57 and 38,209.39 is: 52,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,066.56 : 89,792.57 = 38,209.39 : x
  2. Step 2: Convert to fraction form
    65,066.56/89,792.57 = 38,209.39/x
  3. Step 3: Cross multiply
    65,066.56x = 89,792.57 × 38,209.39
  4. Step 4: Simplify right side
    65,066.56x = 3,430,919,326.23
  5. Step 5: Solve for x
    x = 3,430,919,326.23/65,066.56
  6. Step 6: Final answer
    x = 52,729.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.