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Finding the Fourth Proportional to 27,141.40, 40,712.10 and 22,475.80

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Solution

The fourth proportional to 27,141.40, 40,712.10 and 22,475.80 is: 33,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,141.40 : 40,712.10 = 22,475.80 : x
  2. Step 2: Convert to fraction form
    27,141.40/40,712.10 = 22,475.80/x
  3. Step 3: Cross multiply
    27,141.40x = 40,712.10 × 22,475.80
  4. Step 4: Simplify right side
    27,141.40x = 915,037,017.18
  5. Step 5: Solve for x
    x = 915,037,017.18/27,141.40
  6. Step 6: Final answer
    x = 33,713.70

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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.