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Finding the Fourth Proportional to 32,227.68, 48,355.92 and 14,461.92

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Solution

The fourth proportional to 32,227.68, 48,355.92 and 14,461.92 is: 21,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,227.68 : 48,355.92 = 14,461.92 : x
  2. Step 2: Convert to fraction form
    32,227.68/48,355.92 = 14,461.92/x
  3. Step 3: Cross multiply
    32,227.68x = 48,355.92 × 14,461.92
  4. Step 4: Simplify right side
    32,227.68x = 699,319,446.57
  5. Step 5: Solve for x
    x = 699,319,446.57/32,227.68
  6. Step 6: Final answer
    x = 21,699.34

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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.