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Finding the Fourth Proportional to 32,590.72, 44,974.80 and 18,443.20

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Solution

The fourth proportional to 32,590.72, 44,974.80 and 18,443.20 is: 25,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,590.72 : 44,974.80 = 18,443.20 : x
  2. Step 2: Convert to fraction form
    32,590.72/44,974.80 = 18,443.20/x
  3. Step 3: Cross multiply
    32,590.72x = 44,974.80 × 18,443.20
  4. Step 4: Simplify right side
    32,590.72x = 829,479,231.36
  5. Step 5: Solve for x
    x = 829,479,231.36/32,590.72
  6. Step 6: Final answer
    x = 25,451.39

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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.