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Finding the Fourth Proportional to 59,780.80, 89,632.80 and 24,734.40

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Solution

The fourth proportional to 59,780.80, 89,632.80 and 24,734.40 is: 37,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,780.80 : 89,632.80 = 24,734.40 : x
  2. Step 2: Convert to fraction form
    59,780.80/89,632.80 = 24,734.40/x
  3. Step 3: Cross multiply
    59,780.80x = 89,632.80 × 24,734.40
  4. Step 4: Simplify right side
    59,780.80x = 2,217,013,528.32
  5. Step 5: Solve for x
    x = 2,217,013,528.32/59,780.80
  6. Step 6: Final answer
    x = 37,085.71

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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.