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Finding the Fourth Proportional to 121,594.50, 182,377.98 and 32,842.80

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Solution

The fourth proportional to 121,594.50, 182,377.98 and 32,842.80 is: 49,260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,594.50 : 182,377.98 = 32,842.80 : x
  2. Step 2: Convert to fraction form
    121,594.50/182,377.98 = 32,842.80/x
  3. Step 3: Cross multiply
    121,594.50x = 182,377.98 × 32,842.80
  4. Step 4: Simplify right side
    121,594.50x = 5,989,803,521.54
  5. Step 5: Solve for x
    x = 5,989,803,521.54/121,594.50
  6. Step 6: Final answer
    x = 49,260.48

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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.