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Finding the Fourth Proportional to 31,812.30, 47,742.15 and 12,129.30

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Solution

The fourth proportional to 31,812.30, 47,742.15 and 12,129.30 is: 18,202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812.30 : 47,742.15 = 12,129.30 : x
  2. Step 2: Convert to fraction form
    31,812.30/47,742.15 = 12,129.30/x
  3. Step 3: Cross multiply
    31,812.30x = 47,742.15 × 12,129.30
  4. Step 4: Simplify right side
    31,812.30x = 579,078,860.00
  5. Step 5: Solve for x
    x = 579,078,860.00/31,812.30
  6. Step 6: Final answer
    x = 18,202.99

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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.