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Finding the Fourth Proportional to 32,497.98, 48,728.61 and 21,410.70

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Solution

The fourth proportional to 32,497.98, 48,728.61 and 21,410.70 is: 32,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.98 : 48,728.61 = 21,410.70 : x
  2. Step 2: Convert to fraction form
    32,497.98/48,728.61 = 21,410.70/x
  3. Step 3: Cross multiply
    32,497.98x = 48,728.61 × 21,410.70
  4. Step 4: Simplify right side
    32,497.98x = 1,043,313,650.13
  5. Step 5: Solve for x
    x = 1,043,313,650.13/32,497.98
  6. Step 6: Final answer
    x = 32,103.95

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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.