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Finding the Fourth Proportional to 54,876.78, 75,730.32 and 29,726.28

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Solution

The fourth proportional to 54,876.78, 75,730.32 and 29,726.28 is: 41,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,876.78 : 75,730.32 = 29,726.28 : x
  2. Step 2: Convert to fraction form
    54,876.78/75,730.32 = 29,726.28/x
  3. Step 3: Cross multiply
    54,876.78x = 75,730.32 × 29,726.28
  4. Step 4: Simplify right side
    54,876.78x = 2,251,180,696.81
  5. Step 5: Solve for x
    x = 2,251,180,696.81/54,876.78
  6. Step 6: Final answer
    x = 41,022.46

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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.