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Finding the Fourth Proportional to 32,446.50, 44,776.18 and 17,542.50

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Solution

The fourth proportional to 32,446.50, 44,776.18 and 17,542.50 is: 24,208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.50 : 44,776.18 = 17,542.50 : x
  2. Step 2: Convert to fraction form
    32,446.50/44,776.18 = 17,542.50/x
  3. Step 3: Cross multiply
    32,446.50x = 44,776.18 × 17,542.50
  4. Step 4: Simplify right side
    32,446.50x = 785,486,137.65
  5. Step 5: Solve for x
    x = 785,486,137.65/32,446.50
  6. Step 6: Final answer
    x = 24,208.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.