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Finding the Fourth Proportional to 121,662.30, 182,493.88 and 37,421.90

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Solution

The fourth proportional to 121,662.30, 182,493.88 and 37,421.90 is: 56,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,662.30 : 182,493.88 = 37,421.90 : x
  2. Step 2: Convert to fraction form
    121,662.30/182,493.88 = 37,421.90/x
  3. Step 3: Cross multiply
    121,662.30x = 182,493.88 × 37,421.90
  4. Step 4: Simplify right side
    121,662.30x = 6,829,266,721.95
  5. Step 5: Solve for x
    x = 6,829,266,721.95/121,662.30
  6. Step 6: Final answer
    x = 56,132.97

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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.