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Finding the Fourth Proportional to 31,460.40, 47,191.14 and 8,087.04

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Solution

The fourth proportional to 31,460.40, 47,191.14 and 8,087.04 is: 12,130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,460.40 : 47,191.14 = 8,087.04 : x
  2. Step 2: Convert to fraction form
    31,460.40/47,191.14 = 8,087.04/x
  3. Step 3: Cross multiply
    31,460.40x = 47,191.14 × 8,087.04
  4. Step 4: Simplify right side
    31,460.40x = 381,636,636.83
  5. Step 5: Solve for x
    x = 381,636,636.83/31,460.40
  6. Step 6: Final answer
    x = 12,130.70

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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.