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Finding the Fourth Proportional to 37,641.92, 51,923.04 and 24,895.04

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Solution

The fourth proportional to 37,641.92, 51,923.04 and 24,895.04 is: 34,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,641.92 : 51,923.04 = 24,895.04 : x
  2. Step 2: Convert to fraction form
    37,641.92/51,923.04 = 24,895.04/x
  3. Step 3: Cross multiply
    37,641.92x = 51,923.04 × 24,895.04
  4. Step 4: Simplify right side
    37,641.92x = 1,292,626,157.72
  5. Step 5: Solve for x
    x = 1,292,626,157.72/37,641.92
  6. Step 6: Final answer
    x = 34,340.07

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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.