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Finding the Fourth Proportional to 54,875.46, 75,728.43 and 29,724.96

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Solution

The fourth proportional to 54,875.46, 75,728.43 and 29,724.96 is: 41,020.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,875.46 : 75,728.43 = 29,724.96 : x
  2. Step 2: Convert to fraction form
    54,875.46/75,728.43 = 29,724.96/x
  3. Step 3: Cross multiply
    54,875.46x = 75,728.43 × 29,724.96
  4. Step 4: Simplify right side
    54,875.46x = 2,251,024,552.61
  5. Step 5: Solve for x
    x = 2,251,024,552.61/54,875.46
  6. Step 6: Final answer
    x = 41,020.60

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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.