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Finding the Fourth Proportional to 120,992.52, 181,488.78 and 37,893

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Solution

The fourth proportional to 120,992.52, 181,488.78 and 37,893 is: 56,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,992.52 : 181,488.78 = 37,893 : x
  2. Step 2: Convert to fraction form
    120,992.52/181,488.78 = 37,893/x
  3. Step 3: Cross multiply
    120,992.52x = 181,488.78 × 37,893
  4. Step 4: Simplify right side
    120,992.52x = 6,877,154,340.54
  5. Step 5: Solve for x
    x = 6,877,154,340.54/120,992.52
  6. Step 6: Final answer
    x = 56,839.50

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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.