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Finding the Fourth Proportional to 32,078.40, 48,118.70 and 9,891.60

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Solution

The fourth proportional to 32,078.40, 48,118.70 and 9,891.60 is: 14,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.40 : 48,118.70 = 9,891.60 : x
  2. Step 2: Convert to fraction form
    32,078.40/48,118.70 = 9,891.60/x
  3. Step 3: Cross multiply
    32,078.40x = 48,118.70 × 9,891.60
  4. Step 4: Simplify right side
    32,078.40x = 475,970,932.92
  5. Step 5: Solve for x
    x = 475,970,932.92/32,078.40
  6. Step 6: Final answer
    x = 14,837.74

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1.5x scale

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.