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Finding the Fourth Proportional to 74,950.16, 103,427.16 and 41,414

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Solution

The fourth proportional to 74,950.16, 103,427.16 and 41,414 is: 57,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,950.16 : 103,427.16 = 41,414 : x
  2. Step 2: Convert to fraction form
    74,950.16/103,427.16 = 41,414/x
  3. Step 3: Cross multiply
    74,950.16x = 103,427.16 × 41,414
  4. Step 4: Simplify right side
    74,950.16x = 4,283,332,404.24
  5. Step 5: Solve for x
    x = 4,283,332,404.24/74,950.16
  6. Step 6: Final answer
    x = 57,149.08

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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.