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Finding the Fourth Proportional to 74,948.70, 103,429.14 and 41,414.70

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Solution

The fourth proportional to 74,948.70, 103,429.14 and 41,414.70 is: 57,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,948.70 : 103,429.14 = 41,414.70 : x
  2. Step 2: Convert to fraction form
    74,948.70/103,429.14 = 41,414.70/x
  3. Step 3: Cross multiply
    74,948.70x = 103,429.14 × 41,414.70
  4. Step 4: Simplify right side
    74,948.70x = 4,283,486,804.36
  5. Step 5: Solve for x
    x = 4,283,486,804.36/74,948.70
  6. Step 6: Final answer
    x = 57,152.25

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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.