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Finding the Fourth Proportional to 31,471.29, 47,206.50 and 12,751.17

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Solution

The fourth proportional to 31,471.29, 47,206.50 and 12,751.17 is: 19,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.29 : 47,206.50 = 12,751.17 : x
  2. Step 2: Convert to fraction form
    31,471.29/47,206.50 = 12,751.17/x
  3. Step 3: Cross multiply
    31,471.29x = 47,206.50 × 12,751.17
  4. Step 4: Simplify right side
    31,471.29x = 601,938,106.61
  5. Step 5: Solve for x
    x = 601,938,106.61/31,471.29
  6. Step 6: Final answer
    x = 19,126.58

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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.