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Finding the Fourth Proportional to 37,597, 56,386.26 and 16,542.33

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Solution

The fourth proportional to 37,597, 56,386.26 and 16,542.33 is: 24,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,597 : 56,386.26 = 16,542.33 : x
  2. Step 2: Convert to fraction form
    37,597/56,386.26 = 16,542.33/x
  3. Step 3: Cross multiply
    37,597x = 56,386.26 × 16,542.33
  4. Step 4: Simplify right side
    37,597x = 932,760,120.39
  5. Step 5: Solve for x
    x = 932,760,120.39/37,597
  6. Step 6: Final answer
    x = 24,809.43

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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.