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Finding the Fourth Proportional to 75,031.68, 112,449.09 and 41,734.62

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Solution

The fourth proportional to 75,031.68, 112,449.09 and 41,734.62 is: 62,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,031.68 : 112,449.09 = 41,734.62 : x
  2. Step 2: Convert to fraction form
    75,031.68/112,449.09 = 41,734.62/x
  3. Step 3: Cross multiply
    75,031.68x = 112,449.09 × 41,734.62
  4. Step 4: Simplify right side
    75,031.68x = 4,693,020,040.50
  5. Step 5: Solve for x
    x = 4,693,020,040.50/75,031.68
  6. Step 6: Final answer
    x = 62,547.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.