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Finding the Fourth Proportional to 38,478.42, 57,717.63 and 17,702.10

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Solution

The fourth proportional to 38,478.42, 57,717.63 and 17,702.10 is: 26,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,478.42 : 57,717.63 = 17,702.10 : x
  2. Step 2: Convert to fraction form
    38,478.42/57,717.63 = 17,702.10/x
  3. Step 3: Cross multiply
    38,478.42x = 57,717.63 × 17,702.10
  4. Step 4: Simplify right side
    38,478.42x = 1,021,723,258.02
  5. Step 5: Solve for x
    x = 1,021,723,258.02/38,478.42
  6. Step 6: Final answer
    x = 26,553.15

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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.