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Finding the Fourth Proportional to 32,065.92, 48,104.14 and 9,878.80

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Solution

The fourth proportional to 32,065.92, 48,104.14 and 9,878.80 is: 14,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065.92 : 48,104.14 = 9,878.80 : x
  2. Step 2: Convert to fraction form
    32,065.92/48,104.14 = 9,878.80/x
  3. Step 3: Cross multiply
    32,065.92x = 48,104.14 × 9,878.80
  4. Step 4: Simplify right side
    32,065.92x = 475,211,178.23
  5. Step 5: Solve for x
    x = 475,211,178.23/32,065.92
  6. Step 6: Final answer
    x = 14,819.82

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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.