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Finding the Fourth Proportional to 33,172, 45,780.72 and 19,023.52

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Solution

The fourth proportional to 33,172, 45,780.72 and 19,023.52 is: 26,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,172 : 45,780.72 = 19,023.52 : x
  2. Step 2: Convert to fraction form
    33,172/45,780.72 = 19,023.52/x
  3. Step 3: Cross multiply
    33,172x = 45,780.72 × 19,023.52
  4. Step 4: Simplify right side
    33,172x = 870,910,442.53
  5. Step 5: Solve for x
    x = 870,910,442.53/33,172
  6. Step 6: Final answer
    x = 26,254.38

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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.