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Finding the Fourth Proportional to 60,275.32, 83,218.98 and 38,774.68

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Solution

The fourth proportional to 60,275.32, 83,218.98 and 38,774.68 is: 53,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,275.32 : 83,218.98 = 38,774.68 : x
  2. Step 2: Convert to fraction form
    60,275.32/83,218.98 = 38,774.68/x
  3. Step 3: Cross multiply
    60,275.32x = 83,218.98 × 38,774.68
  4. Step 4: Simplify right side
    60,275.32x = 3,226,789,319.43
  5. Step 5: Solve for x
    x = 3,226,789,319.43/60,275.32
  6. Step 6: Final answer
    x = 53,534.17

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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.