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Finding the Fourth Proportional to 41,646.16, 57,465 and 23,741.20

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Solution

The fourth proportional to 41,646.16, 57,465 and 23,741.20 is: 32,759.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,646.16 : 57,465 = 23,741.20 : x
  2. Step 2: Convert to fraction form
    41,646.16/57,465 = 23,741.20/x
  3. Step 3: Cross multiply
    41,646.16x = 57,465 × 23,741.20
  4. Step 4: Simplify right side
    41,646.16x = 1,364,288,058
  5. Step 5: Solve for x
    x = 1,364,288,058/41,646.16
  6. Step 6: Final answer
    x = 32,759.04

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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.