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Finding the Fourth Proportional to 31,706.37, 47,545.18 and 11,970.92

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Solution

The fourth proportional to 31,706.37, 47,545.18 and 11,970.92 is: 17,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.37 : 47,545.18 = 11,970.92 : x
  2. Step 2: Convert to fraction form
    31,706.37/47,545.18 = 11,970.92/x
  3. Step 3: Cross multiply
    31,706.37x = 47,545.18 × 11,970.92
  4. Step 4: Simplify right side
    31,706.37x = 569,159,635.10
  5. Step 5: Solve for x
    x = 569,159,635.10/31,706.37
  6. Step 6: Final answer
    x = 17,950.96

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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.