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Finding the Fourth Proportional to 31,658.90, 47,474.48 and 15,023.68

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Solution

The fourth proportional to 31,658.90, 47,474.48 and 15,023.68 is: 22,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658.90 : 47,474.48 = 15,023.68 : x
  2. Step 2: Convert to fraction form
    31,658.90/47,474.48 = 15,023.68/x
  3. Step 3: Cross multiply
    31,658.90x = 47,474.48 × 15,023.68
  4. Step 4: Simplify right side
    31,658.90x = 713,241,395.69
  5. Step 5: Solve for x
    x = 713,241,395.69/31,658.90
  6. Step 6: Final answer
    x = 22,528.94

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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.