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Finding the Fourth Proportional to 31,878.30, 47,817.45 and 8,507.10

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Solution

The fourth proportional to 31,878.30, 47,817.45 and 8,507.10 is: 12,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.30 : 47,817.45 = 8,507.10 : x
  2. Step 2: Convert to fraction form
    31,878.30/47,817.45 = 8,507.10/x
  3. Step 3: Cross multiply
    31,878.30x = 47,817.45 × 8,507.10
  4. Step 4: Simplify right side
    31,878.30x = 406,787,828.90
  5. Step 5: Solve for x
    x = 406,787,828.90/31,878.30
  6. Step 6: Final answer
    x = 12,760.65

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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.