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Finding the Fourth Proportional to 84,893.48, 127,165.24 and 49,726.52

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Solution

The fourth proportional to 84,893.48, 127,165.24 and 49,726.52 is: 74,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,893.48 : 127,165.24 = 49,726.52 : x
  2. Step 2: Convert to fraction form
    84,893.48/127,165.24 = 49,726.52/x
  3. Step 3: Cross multiply
    84,893.48x = 127,165.24 × 49,726.52
  4. Step 4: Simplify right side
    84,893.48x = 6,323,484,850.16
  5. Step 5: Solve for x
    x = 6,323,484,850.16/84,893.48
  6. Step 6: Final answer
    x = 74,487.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.