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Finding the Fourth Proportional to 41,417.64, 57,154.50 and 23,512.32

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Solution

The fourth proportional to 41,417.64, 57,154.50 and 23,512.32 is: 32,445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,417.64 : 57,154.50 = 23,512.32 : x
  2. Step 2: Convert to fraction form
    41,417.64/57,154.50 = 23,512.32/x
  3. Step 3: Cross multiply
    41,417.64x = 57,154.50 × 23,512.32
  4. Step 4: Simplify right side
    41,417.64x = 1,343,834,893.44
  5. Step 5: Solve for x
    x = 1,343,834,893.44/41,417.64
  6. Step 6: Final answer
    x = 32,445.96

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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.