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Finding the Fourth Proportional to 31,545.36, 47,339.04 and 16,765.20

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Solution

The fourth proportional to 31,545.36, 47,339.04 and 16,765.20 is: 25,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,545.36 : 47,339.04 = 16,765.20 : x
  2. Step 2: Convert to fraction form
    31,545.36/47,339.04 = 16,765.20/x
  3. Step 3: Cross multiply
    31,545.36x = 47,339.04 × 16,765.20
  4. Step 4: Simplify right side
    31,545.36x = 793,648,473.41
  5. Step 5: Solve for x
    x = 793,648,473.41/31,545.36
  6. Step 6: Final answer
    x = 25,158.96

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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.