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Finding the Fourth Proportional to 31,730.32, 47,602.14 and 9,545.32

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Solution

The fourth proportional to 31,730.32, 47,602.14 and 9,545.32 is: 14,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,730.32 : 47,602.14 = 9,545.32 : x
  2. Step 2: Convert to fraction form
    31,730.32/47,602.14 = 9,545.32/x
  3. Step 3: Cross multiply
    31,730.32x = 47,602.14 × 9,545.32
  4. Step 4: Simplify right side
    31,730.32x = 454,377,658.98
  5. Step 5: Solve for x
    x = 454,377,658.98/31,730.32
  6. Step 6: Final answer
    x = 14,319.98

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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.