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Finding the Fourth Proportional to 31,459.13, 47,205.11 and 12,752.99

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Solution

The fourth proportional to 31,459.13, 47,205.11 and 12,752.99 is: 19,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.13 : 47,205.11 = 12,752.99 : x
  2. Step 2: Convert to fraction form
    31,459.13/47,205.11 = 12,752.99/x
  3. Step 3: Cross multiply
    31,459.13x = 47,205.11 × 12,752.99
  4. Step 4: Simplify right side
    31,459.13x = 602,006,295.78
  5. Step 5: Solve for x
    x = 602,006,295.78/31,459.13
  6. Step 6: Final answer
    x = 19,136.14

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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.