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Finding the Fourth Proportional to 59,482.38, 82,084.19 and 32,256.97

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Solution

The fourth proportional to 59,482.38, 82,084.19 and 32,256.97 is: 44,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,482.38 : 82,084.19 = 32,256.97 : x
  2. Step 2: Convert to fraction form
    59,482.38/82,084.19 = 32,256.97/x
  3. Step 3: Cross multiply
    59,482.38x = 82,084.19 × 32,256.97
  4. Step 4: Simplify right side
    59,482.38x = 2,647,786,887.81
  5. Step 5: Solve for x
    x = 2,647,786,887.81/59,482.38
  6. Step 6: Final answer
    x = 44,513.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.