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Finding the Fourth Proportional to 31,404.60, 47,029.14 and 17,524.44

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Solution

The fourth proportional to 31,404.60, 47,029.14 and 17,524.44 is: 26,243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,404.60 : 47,029.14 = 17,524.44 : x
  2. Step 2: Convert to fraction form
    31,404.60/47,029.14 = 17,524.44/x
  3. Step 3: Cross multiply
    31,404.60x = 47,029.14 × 17,524.44
  4. Step 4: Simplify right side
    31,404.60x = 824,159,342.18
  5. Step 5: Solve for x
    x = 824,159,342.18/31,404.60
  6. Step 6: Final answer
    x = 26,243.27

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