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Finding the Fourth Proportional to 41,573.86, 57,369.28 and 22,711

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Solution

The fourth proportional to 41,573.86, 57,369.28 and 22,711 is: 31,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,573.86 : 57,369.28 = 22,711 : x
  2. Step 2: Convert to fraction form
    41,573.86/57,369.28 = 22,711/x
  3. Step 3: Cross multiply
    41,573.86x = 57,369.28 × 22,711
  4. Step 4: Simplify right side
    41,573.86x = 1,302,913,718.08
  5. Step 5: Solve for x
    x = 1,302,913,718.08/41,573.86
  6. Step 6: Final answer
    x = 31,339.73

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1.5x scale

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.