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Finding the Fourth Proportional to 41,585.80, 57,395.37 and 23,678.32

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Solution

The fourth proportional to 41,585.80, 57,395.37 and 23,678.32 is: 32,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,585.80 : 57,395.37 = 23,678.32 : x
  2. Step 2: Convert to fraction form
    41,585.80/57,395.37 = 23,678.32/x
  3. Step 3: Cross multiply
    41,585.80x = 57,395.37 × 23,678.32
  4. Step 4: Simplify right side
    41,585.80x = 1,359,025,937.38
  5. Step 5: Solve for x
    x = 1,359,025,937.38/41,585.80
  6. Step 6: Final answer
    x = 32,680.05

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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.