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Finding the Fourth Proportional to 67,892.76, 101,838.96 and 38,297.16

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Solution

The fourth proportional to 67,892.76, 101,838.96 and 38,297.16 is: 57,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,892.76 : 101,838.96 = 38,297.16 : x
  2. Step 2: Convert to fraction form
    67,892.76/101,838.96 = 38,297.16/x
  3. Step 3: Cross multiply
    67,892.76x = 101,838.96 × 38,297.16
  4. Step 4: Simplify right side
    67,892.76x = 3,900,142,945.35
  5. Step 5: Solve for x
    x = 3,900,142,945.35/67,892.76
  6. Step 6: Final answer
    x = 57,445.64

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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.