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Finding the Fourth Proportional to 31,658.60, 47,504.29 and 16,076.22

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Solution

The fourth proportional to 31,658.60, 47,504.29 and 16,076.22 is: 24,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658.60 : 47,504.29 = 16,076.22 : x
  2. Step 2: Convert to fraction form
    31,658.60/47,504.29 = 16,076.22/x
  3. Step 3: Cross multiply
    31,658.60x = 47,504.29 × 16,076.22
  4. Step 4: Simplify right side
    31,658.60x = 763,689,457.17
  5. Step 5: Solve for x
    x = 763,689,457.17/31,658.60
  6. Step 6: Final answer
    x = 24,122.66

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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.