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Finding the Fourth Proportional to 32,081.76, 48,124.80 and 11,298.24

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Solution

The fourth proportional to 32,081.76, 48,124.80 and 11,298.24 is: 16,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,081.76 : 48,124.80 = 11,298.24 : x
  2. Step 2: Convert to fraction form
    32,081.76/48,124.80 = 11,298.24/x
  3. Step 3: Cross multiply
    32,081.76x = 48,124.80 × 11,298.24
  4. Step 4: Simplify right side
    32,081.76x = 543,725,540.35
  5. Step 5: Solve for x
    x = 543,725,540.35/32,081.76
  6. Step 6: Final answer
    x = 16,948.12

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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.