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Finding the Fourth Proportional to 74,575.24, 102,913.86 and 41,041

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Solution

The fourth proportional to 74,575.24, 102,913.86 and 41,041 is: 56,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,575.24 : 102,913.86 = 41,041 : x
  2. Step 2: Convert to fraction form
    74,575.24/102,913.86 = 41,041/x
  3. Step 3: Cross multiply
    74,575.24x = 102,913.86 × 41,041
  4. Step 4: Simplify right side
    74,575.24x = 4,223,687,728.26
  5. Step 5: Solve for x
    x = 4,223,687,728.26/74,575.24
  6. Step 6: Final answer
    x = 56,636.60

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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.