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Finding the Fourth Proportional to 32,298.52, 48,447.80 and 10,113.80

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Solution

The fourth proportional to 32,298.52, 48,447.80 and 10,113.80 is: 15,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,298.52 : 48,447.80 = 10,113.80 : x
  2. Step 2: Convert to fraction form
    32,298.52/48,447.80 = 10,113.80/x
  3. Step 3: Cross multiply
    32,298.52x = 48,447.80 × 10,113.80
  4. Step 4: Simplify right side
    32,298.52x = 489,991,359.64
  5. Step 5: Solve for x
    x = 489,991,359.64/32,298.52
  6. Step 6: Final answer
    x = 15,170.71

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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.