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Finding the Fourth Proportional to 31,462.08, 47,179 and 9,267.68

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Solution

The fourth proportional to 31,462.08, 47,179 and 9,267.68 is: 13,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.08 : 47,179 = 9,267.68 : x
  2. Step 2: Convert to fraction form
    31,462.08/47,179 = 9,267.68/x
  3. Step 3: Cross multiply
    31,462.08x = 47,179 × 9,267.68
  4. Step 4: Simplify right side
    31,462.08x = 437,239,874.72
  5. Step 5: Solve for x
    x = 437,239,874.72/31,462.08
  6. Step 6: Final answer
    x = 13,897.36

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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.