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Finding the Fourth Proportional to 38,724.84, 53,470.38 and 29,758.20

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Solution

The fourth proportional to 38,724.84, 53,470.38 and 29,758.20 is: 41,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,724.84 : 53,470.38 = 29,758.20 : x
  2. Step 2: Convert to fraction form
    38,724.84/53,470.38 = 29,758.20/x
  3. Step 3: Cross multiply
    38,724.84x = 53,470.38 × 29,758.20
  4. Step 4: Simplify right side
    38,724.84x = 1,591,182,262.12
  5. Step 5: Solve for x
    x = 1,591,182,262.12/38,724.84
  6. Step 6: Final answer
    x = 41,089.45

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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.