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Finding the Fourth Proportional to 71,167.17, 106,752.63 and 31,165.57

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Solution

The fourth proportional to 71,167.17, 106,752.63 and 31,165.57 is: 46,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,167.17 : 106,752.63 = 31,165.57 : x
  2. Step 2: Convert to fraction form
    71,167.17/106,752.63 = 31,165.57/x
  3. Step 3: Cross multiply
    71,167.17x = 106,752.63 × 31,165.57
  4. Step 4: Simplify right side
    71,167.17x = 3,327,006,562.95
  5. Step 5: Solve for x
    x = 3,327,006,562.95/71,167.17
  6. Step 6: Final answer
    x = 46,749.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.