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Finding the Fourth Proportional to 39,574.92, 54,590.58 and 24,645

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Solution

The fourth proportional to 39,574.92, 54,590.58 and 24,645 is: 33,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,574.92 : 54,590.58 = 24,645 : x
  2. Step 2: Convert to fraction form
    39,574.92/54,590.58 = 24,645/x
  3. Step 3: Cross multiply
    39,574.92x = 54,590.58 × 24,645
  4. Step 4: Simplify right side
    39,574.92x = 1,345,384,844.10
  5. Step 5: Solve for x
    x = 1,345,384,844.10/39,574.92
  6. Step 6: Final answer
    x = 33,995.90

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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.