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Finding the Fourth Proportional to 53,663.66, 74,052.14 and 29,788.44

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Solution

The fourth proportional to 53,663.66, 74,052.14 and 29,788.44 is: 41,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,663.66 : 74,052.14 = 29,788.44 : x
  2. Step 2: Convert to fraction form
    53,663.66/74,052.14 = 29,788.44/x
  3. Step 3: Cross multiply
    53,663.66x = 74,052.14 × 29,788.44
  4. Step 4: Simplify right side
    53,663.66x = 2,205,897,729.26
  5. Step 5: Solve for x
    x = 2,205,897,729.26/53,663.66
  6. Step 6: Final answer
    x = 41,105.99

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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.