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Finding the Fourth Proportional to 75,854.92, 104,685.72 and 41,870.15

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Solution

The fourth proportional to 75,854.92, 104,685.72 and 41,870.15 is: 57,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,854.92 : 104,685.72 = 41,870.15 : x
  2. Step 2: Convert to fraction form
    75,854.92/104,685.72 = 41,870.15/x
  3. Step 3: Cross multiply
    75,854.92x = 104,685.72 × 41,870.15
  4. Step 4: Simplify right side
    75,854.92x = 4,383,206,799.26
  5. Step 5: Solve for x
    x = 4,383,206,799.26/75,854.92
  6. Step 6: Final answer
    x = 57,784.08

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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.