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Finding the Fourth Proportional to 65,318.16, 98,034.12 and 37,294.32

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Solution

The fourth proportional to 65,318.16, 98,034.12 and 37,294.32 is: 55,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,318.16 : 98,034.12 = 37,294.32 : x
  2. Step 2: Convert to fraction form
    65,318.16/98,034.12 = 37,294.32/x
  3. Step 3: Cross multiply
    65,318.16x = 98,034.12 × 37,294.32
  4. Step 4: Simplify right side
    65,318.16x = 3,656,115,842.20
  5. Step 5: Solve for x
    x = 3,656,115,842.20/65,318.16
  6. Step 6: Final answer
    x = 55,973.96

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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.