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Finding the Fourth Proportional to 31,564.98, 47,339.28 and 9,373.14

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Solution

The fourth proportional to 31,564.98, 47,339.28 and 9,373.14 is: 14,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.98 : 47,339.28 = 9,373.14 : x
  2. Step 2: Convert to fraction form
    31,564.98/47,339.28 = 9,373.14/x
  3. Step 3: Cross multiply
    31,564.98x = 47,339.28 × 9,373.14
  4. Step 4: Simplify right side
    31,564.98x = 443,717,698.94
  5. Step 5: Solve for x
    x = 443,717,698.94/31,564.98
  6. Step 6: Final answer
    x = 14,057.28

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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.