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Finding the Fourth Proportional to 72,866.28, 109,307.25 and 22,947.90

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Solution

The fourth proportional to 72,866.28, 109,307.25 and 22,947.90 is: 34,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,866.28 : 109,307.25 = 22,947.90 : x
  2. Step 2: Convert to fraction form
    72,866.28/109,307.25 = 22,947.90/x
  3. Step 3: Cross multiply
    72,866.28x = 109,307.25 × 22,947.90
  4. Step 4: Simplify right side
    72,866.28x = 2,508,371,842.28
  5. Step 5: Solve for x
    x = 2,508,371,842.28/72,866.28
  6. Step 6: Final answer
    x = 34,424.32

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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.