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Finding the Fourth Proportional to 54,876.82, 75,730.01 and 29,726.32

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Solution

The fourth proportional to 54,876.82, 75,730.01 and 29,726.32 is: 41,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,876.82 : 75,730.01 = 29,726.32 : x
  2. Step 2: Convert to fraction form
    54,876.82/75,730.01 = 29,726.32/x
  3. Step 3: Cross multiply
    54,876.82x = 75,730.01 × 29,726.32
  4. Step 4: Simplify right side
    54,876.82x = 2,251,174,510.86
  5. Step 5: Solve for x
    x = 2,251,174,510.86/54,876.82
  6. Step 6: Final answer
    x = 41,022.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.