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Finding the Fourth Proportional to 75,877.92, 104,716.08 and 42,346.08

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Solution

The fourth proportional to 75,877.92, 104,716.08 and 42,346.08 is: 58,440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,877.92 : 104,716.08 = 42,346.08 : x
  2. Step 2: Convert to fraction form
    75,877.92/104,716.08 = 42,346.08/x
  3. Step 3: Cross multiply
    75,877.92x = 104,716.08 × 42,346.08
  4. Step 4: Simplify right side
    75,877.92x = 4,434,315,500.97
  5. Step 5: Solve for x
    x = 4,434,315,500.97/75,877.92
  6. Step 6: Final answer
    x = 58,440.13

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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.