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Finding the Fourth Proportional to 121,420.86, 182,107.53 and 32,675.10

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Solution

The fourth proportional to 121,420.86, 182,107.53 and 32,675.10 is: 49,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,420.86 : 182,107.53 = 32,675.10 : x
  2. Step 2: Convert to fraction form
    121,420.86/182,107.53 = 32,675.10/x
  3. Step 3: Cross multiply
    121,420.86x = 182,107.53 × 32,675.10
  4. Step 4: Simplify right side
    121,420.86x = 5,950,381,753.50
  5. Step 5: Solve for x
    x = 5,950,381,753.50/121,420.86
  6. Step 6: Final answer
    x = 49,006.26

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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.