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Finding the Fourth Proportional to 54,881.47, 75,736.17 and 29,730.97

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Solution

The fourth proportional to 54,881.47, 75,736.17 and 29,730.97 is: 41,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,881.47 : 75,736.17 = 29,730.97 : x
  2. Step 2: Convert to fraction form
    54,881.47/75,736.17 = 29,730.97/x
  3. Step 3: Cross multiply
    54,881.47x = 75,736.17 × 29,730.97
  4. Step 4: Simplify right side
    54,881.47x = 2,251,709,798.18
  5. Step 5: Solve for x
    x = 2,251,709,798.18/54,881.47
  6. Step 6: Final answer
    x = 41,028.60

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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.