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Finding the Fourth Proportional to 32,572, 44,949.60 and 17,668

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Solution

The fourth proportional to 32,572, 44,949.60 and 17,668 is: 24,381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,572 : 44,949.60 = 17,668 : x
  2. Step 2: Convert to fraction form
    32,572/44,949.60 = 17,668/x
  3. Step 3: Cross multiply
    32,572x = 44,949.60 × 17,668
  4. Step 4: Simplify right side
    32,572x = 794,169,532.80
  5. Step 5: Solve for x
    x = 794,169,532.80/32,572
  6. Step 6: Final answer
    x = 24,381.97

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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.