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Finding the Fourth Proportional to 74,522.76, 102,842.04 and 40,531.56

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Solution

The fourth proportional to 74,522.76, 102,842.04 and 40,531.56 is: 55,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,522.76 : 102,842.04 = 40,531.56 : x
  2. Step 2: Convert to fraction form
    74,522.76/102,842.04 = 40,531.56/x
  3. Step 3: Cross multiply
    74,522.76x = 102,842.04 × 40,531.56
  4. Step 4: Simplify right side
    74,522.76x = 4,168,348,314.78
  5. Step 5: Solve for x
    x = 4,168,348,314.78/74,522.76
  6. Step 6: Final answer
    x = 55,933.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.