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Finding the Fourth Proportional to 31,699.62, 47,548.35 and 9,512.10

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Solution

The fourth proportional to 31,699.62, 47,548.35 and 9,512.10 is: 14,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,699.62 : 47,548.35 = 9,512.10 : x
  2. Step 2: Convert to fraction form
    31,699.62/47,548.35 = 9,512.10/x
  3. Step 3: Cross multiply
    31,699.62x = 47,548.35 × 9,512.10
  4. Step 4: Simplify right side
    31,699.62x = 452,284,660.04
  5. Step 5: Solve for x
    x = 452,284,660.04/31,699.62
  6. Step 6: Final answer
    x = 14,267.83

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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.