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Finding the Fourth Proportional to 83,132.65, 124,748.65 and 30,547.45

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Solution

The fourth proportional to 83,132.65, 124,748.65 and 30,547.45 is: 45,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,132.65 : 124,748.65 = 30,547.45 : x
  2. Step 2: Convert to fraction form
    83,132.65/124,748.65 = 30,547.45/x
  3. Step 3: Cross multiply
    83,132.65x = 124,748.65 × 30,547.45
  4. Step 4: Simplify right side
    83,132.65x = 3,810,752,524.70
  5. Step 5: Solve for x
    x = 3,810,752,524.70/83,132.65
  6. Step 6: Final answer
    x = 45,839.42

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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.