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Finding the Fourth Proportional to 31,573.40, 47,366.57 and 9,384.80

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Solution

The fourth proportional to 31,573.40, 47,366.57 and 9,384.80 is: 14,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,573.40 : 47,366.57 = 9,384.80 : x
  2. Step 2: Convert to fraction form
    31,573.40/47,366.57 = 9,384.80/x
  3. Step 3: Cross multiply
    31,573.40x = 47,366.57 × 9,384.80
  4. Step 4: Simplify right side
    31,573.40x = 444,525,572.77
  5. Step 5: Solve for x
    x = 444,525,572.77/31,573.40
  6. Step 6: Final answer
    x = 14,079.12

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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.