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Finding the Fourth Proportional to 29,602.73, 44,188.14 and 25,866

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Solution

The fourth proportional to 29,602.73, 44,188.14 and 25,866 is: 38,610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,602.73 : 44,188.14 = 25,866 : x
  2. Step 2: Convert to fraction form
    29,602.73/44,188.14 = 25,866/x
  3. Step 3: Cross multiply
    29,602.73x = 44,188.14 × 25,866
  4. Step 4: Simplify right side
    29,602.73x = 1,142,970,429.24
  5. Step 5: Solve for x
    x = 1,142,970,429.24/29,602.73
  6. Step 6: Final answer
    x = 38,610.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.