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Finding the Fourth Proportional to 36,482.71, 54,724.08 and 8,780.71

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Solution

The fourth proportional to 36,482.71, 54,724.08 and 8,780.71 is: 13,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,482.71 : 54,724.08 = 8,780.71 : x
  2. Step 2: Convert to fraction form
    36,482.71/54,724.08 = 8,780.71/x
  3. Step 3: Cross multiply
    36,482.71x = 54,724.08 × 8,780.71
  4. Step 4: Simplify right side
    36,482.71x = 480,516,276.50
  5. Step 5: Solve for x
    x = 480,516,276.50/36,482.71
  6. Step 6: Final answer
    x = 13,171.07

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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.