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Finding the Fourth Proportional to 74,948.90, 103,429.53 and 41,414.90

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Solution

The fourth proportional to 74,948.90, 103,429.53 and 41,414.90 is: 57,152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,948.90 : 103,429.53 = 41,414.90 : x
  2. Step 2: Convert to fraction form
    74,948.90/103,429.53 = 41,414.90/x
  3. Step 3: Cross multiply
    74,948.90x = 103,429.53 × 41,414.90
  4. Step 4: Simplify right side
    74,948.90x = 4,283,523,124.85
  5. Step 5: Solve for x
    x = 4,283,523,124.85/74,948.90
  6. Step 6: Final answer
    x = 57,152.59

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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.