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Finding the Fourth Proportional to 75,988.92, 113,965.96 and 28,608.93

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Solution

The fourth proportional to 75,988.92, 113,965.96 and 28,608.93 is: 42,906.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,988.92 : 113,965.96 = 28,608.93 : x
  2. Step 2: Convert to fraction form
    75,988.92/113,965.96 = 28,608.93/x
  3. Step 3: Cross multiply
    75,988.92x = 113,965.96 × 28,608.93
  4. Step 4: Simplify right side
    75,988.92x = 3,260,444,534.36
  5. Step 5: Solve for x
    x = 3,260,444,534.36/75,988.92
  6. Step 6: Final answer
    x = 42,906.84

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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.