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Finding the Fourth Proportional to 34,822.80, 52,195.80 and 19,251.60

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Solution

The fourth proportional to 34,822.80, 52,195.80 and 19,251.60 is: 28,856.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,822.80 : 52,195.80 = 19,251.60 : x
  2. Step 2: Convert to fraction form
    34,822.80/52,195.80 = 19,251.60/x
  3. Step 3: Cross multiply
    34,822.80x = 52,195.80 × 19,251.60
  4. Step 4: Simplify right side
    34,822.80x = 1,004,852,663.28
  5. Step 5: Solve for x
    x = 1,004,852,663.28/34,822.80
  6. Step 6: Final answer
    x = 28,856.17

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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.