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Finding the Fourth Proportional to 24,715, 37,086.69 and 24,514.39

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Solution

The fourth proportional to 24,715, 37,086.69 and 24,514.39 is: 36,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,715 : 37,086.69 = 24,514.39 : x
  2. Step 2: Convert to fraction form
    24,715/37,086.69 = 24,514.39/x
  3. Step 3: Cross multiply
    24,715x = 37,086.69 × 24,514.39
  4. Step 4: Simplify right side
    24,715x = 909,157,582.47
  5. Step 5: Solve for x
    x = 909,157,582.47/24,715
  6. Step 6: Final answer
    x = 36,785.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.