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Finding the Fourth Proportional to 37,341.87, 51,514.92 and 24,591.66

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Solution

The fourth proportional to 37,341.87, 51,514.92 and 24,591.66 is: 33,925.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,341.87 : 51,514.92 = 24,591.66 : x
  2. Step 2: Convert to fraction form
    37,341.87/51,514.92 = 24,591.66/x
  3. Step 3: Cross multiply
    37,341.87x = 51,514.92 × 24,591.66
  4. Step 4: Simplify right side
    37,341.87x = 1,266,837,397.57
  5. Step 5: Solve for x
    x = 1,266,837,397.57/37,341.87
  6. Step 6: Final answer
    x = 33,925.39

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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.