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Finding the Fourth Proportional to 75,992.68, 104,870.18 and 42,459.24

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Solution

The fourth proportional to 75,992.68, 104,870.18 and 42,459.24 is: 58,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,992.68 : 104,870.18 = 42,459.24 : x
  2. Step 2: Convert to fraction form
    75,992.68/104,870.18 = 42,459.24/x
  3. Step 3: Cross multiply
    75,992.68x = 104,870.18 × 42,459.24
  4. Step 4: Simplify right side
    75,992.68x = 4,452,708,141.46
  5. Step 5: Solve for x
    x = 4,452,708,141.46/75,992.68
  6. Step 6: Final answer
    x = 58,593.91

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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.