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Finding the Fourth Proportional to 75,110.88, 112,705.17 and 33,020.52

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Solution

The fourth proportional to 75,110.88, 112,705.17 and 33,020.52 is: 49,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,110.88 : 112,705.17 = 33,020.52 : x
  2. Step 2: Convert to fraction form
    75,110.88/112,705.17 = 33,020.52/x
  3. Step 3: Cross multiply
    75,110.88x = 112,705.17 × 33,020.52
  4. Step 4: Simplify right side
    75,110.88x = 3,721,583,320.09
  5. Step 5: Solve for x
    x = 3,721,583,320.09/75,110.88
  6. Step 6: Final answer
    x = 49,547.86

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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.