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Finding the Fourth Proportional to 41,702.56, 57,549.36 and 23,797.78

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Solution

The fourth proportional to 41,702.56, 57,549.36 and 23,797.78 is: 32,840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,702.56 : 57,549.36 = 23,797.78 : x
  2. Step 2: Convert to fraction form
    41,702.56/57,549.36 = 23,797.78/x
  3. Step 3: Cross multiply
    41,702.56x = 57,549.36 × 23,797.78
  4. Step 4: Simplify right side
    41,702.56x = 1,369,547,008.42
  5. Step 5: Solve for x
    x = 1,369,547,008.42/41,702.56
  6. Step 6: Final answer
    x = 32,840.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.