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Finding the Fourth Proportional to 41,146.96, 56,782.96 and 23,242.16

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Solution

The fourth proportional to 41,146.96, 56,782.96 and 23,242.16 is: 32,074.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,146.96 : 56,782.96 = 23,242.16 : x
  2. Step 2: Convert to fraction form
    41,146.96/56,782.96 = 23,242.16/x
  3. Step 3: Cross multiply
    41,146.96x = 56,782.96 × 23,242.16
  4. Step 4: Simplify right side
    41,146.96x = 1,319,758,641.59
  5. Step 5: Solve for x
    x = 1,319,758,641.59/41,146.96
  6. Step 6: Final answer
    x = 32,074.27

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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.