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Finding the Fourth Proportional to 31,143.60, 46,687.61 and 11,417.55

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Solution

The fourth proportional to 31,143.60, 46,687.61 and 11,417.55 is: 17,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,143.60 : 46,687.61 = 11,417.55 : x
  2. Step 2: Convert to fraction form
    31,143.60/46,687.61 = 11,417.55/x
  3. Step 3: Cross multiply
    31,143.60x = 46,687.61 × 11,417.55
  4. Step 4: Simplify right side
    31,143.60x = 533,058,121.56
  5. Step 5: Solve for x
    x = 533,058,121.56/31,143.60
  6. Step 6: Final answer
    x = 17,116.14

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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.