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Finding the Fourth Proportional to 74,145.88, 102,321.31 and 42,314.09

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Solution

The fourth proportional to 74,145.88, 102,321.31 and 42,314.09 is: 58,393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,145.88 : 102,321.31 = 42,314.09 : x
  2. Step 2: Convert to fraction form
    74,145.88/102,321.31 = 42,314.09/x
  3. Step 3: Cross multiply
    74,145.88x = 102,321.31 × 42,314.09
  4. Step 4: Simplify right side
    74,145.88x = 4,329,633,120.26
  5. Step 5: Solve for x
    x = 4,329,633,120.26/74,145.88
  6. Step 6: Final answer
    x = 58,393.45

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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.