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Finding the Fourth Proportional to 75,092.92, 112,643.12 and 22,497.40

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Solution

The fourth proportional to 75,092.92, 112,643.12 and 22,497.40 is: 33,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,092.92 : 112,643.12 = 22,497.40 : x
  2. Step 2: Convert to fraction form
    75,092.92/112,643.12 = 22,497.40/x
  3. Step 3: Cross multiply
    75,092.92x = 112,643.12 × 22,497.40
  4. Step 4: Simplify right side
    75,092.92x = 2,534,177,327.89
  5. Step 5: Solve for x
    x = 2,534,177,327.89/75,092.92
  6. Step 6: Final answer
    x = 33,747.22

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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.