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Finding the Fourth Proportional to 75,298.34, 112,947.32 and 41,562.74

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Solution

The fourth proportional to 75,298.34, 112,947.32 and 41,562.74 is: 62,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,298.34 : 112,947.32 = 41,562.74 : x
  2. Step 2: Convert to fraction form
    75,298.34/112,947.32 = 41,562.74/x
  3. Step 3: Cross multiply
    75,298.34x = 112,947.32 × 41,562.74
  4. Step 4: Simplify right side
    75,298.34x = 4,694,399,634.03
  5. Step 5: Solve for x
    x = 4,694,399,634.03/75,298.34
  6. Step 6: Final answer
    x = 62,344.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.