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Finding the Fourth Proportional to 38,302.32, 57,434.04 and 17,508

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Solution

The fourth proportional to 38,302.32, 57,434.04 and 17,508 is: 26,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,302.32 : 57,434.04 = 17,508 : x
  2. Step 2: Convert to fraction form
    38,302.32/57,434.04 = 17,508/x
  3. Step 3: Cross multiply
    38,302.32x = 57,434.04 × 17,508
  4. Step 4: Simplify right side
    38,302.32x = 1,005,555,172.32
  5. Step 5: Solve for x
    x = 1,005,555,172.32/38,302.32
  6. Step 6: Final answer
    x = 26,253.11

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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.