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Finding the Fourth Proportional to 38,434.80, 57,649.13 and 17,094.13

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Solution

The fourth proportional to 38,434.80, 57,649.13 and 17,094.13 is: 25,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,434.80 : 57,649.13 = 17,094.13 : x
  2. Step 2: Convert to fraction form
    38,434.80/57,649.13 = 17,094.13/x
  3. Step 3: Cross multiply
    38,434.80x = 57,649.13 × 17,094.13
  4. Step 4: Simplify right side
    38,434.80x = 985,461,722.61
  5. Step 5: Solve for x
    x = 985,461,722.61/38,434.80
  6. Step 6: Final answer
    x = 25,639.83

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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.