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Finding the Fourth Proportional to 41,407.98, 57,140.16 and 23,503.32

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Solution

The fourth proportional to 41,407.98, 57,140.16 and 23,503.32 is: 32,432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,407.98 : 57,140.16 = 23,503.32 : x
  2. Step 2: Convert to fraction form
    41,407.98/57,140.16 = 23,503.32/x
  3. Step 3: Cross multiply
    41,407.98x = 57,140.16 × 23,503.32
  4. Step 4: Simplify right side
    41,407.98x = 1,342,983,465.33
  5. Step 5: Solve for x
    x = 1,342,983,465.33/41,407.98
  6. Step 6: Final answer
    x = 32,432.96

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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.