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Finding the Fourth Proportional to 31,509.70, 47,248.14 and 14,865.26

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Solution

The fourth proportional to 31,509.70, 47,248.14 and 14,865.26 is: 22,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.70 : 47,248.14 = 14,865.26 : x
  2. Step 2: Convert to fraction form
    31,509.70/47,248.14 = 14,865.26/x
  3. Step 3: Cross multiply
    31,509.70x = 47,248.14 × 14,865.26
  4. Step 4: Simplify right side
    31,509.70x = 702,355,885.62
  5. Step 5: Solve for x
    x = 702,355,885.62/31,509.70
  6. Step 6: Final answer
    x = 22,290.15

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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.