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Finding the Fourth Proportional to 32,451.48, 48,677.22 and 11,675

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Solution

The fourth proportional to 32,451.48, 48,677.22 and 11,675 is: 17,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,451.48 : 48,677.22 = 11,675 : x
  2. Step 2: Convert to fraction form
    32,451.48/48,677.22 = 11,675/x
  3. Step 3: Cross multiply
    32,451.48x = 48,677.22 × 11,675
  4. Step 4: Simplify right side
    32,451.48x = 568,306,543.50
  5. Step 5: Solve for x
    x = 568,306,543.50/32,451.48
  6. Step 6: Final answer
    x = 17,512.50

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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.