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Finding the Fourth Proportional to 72,618.38, 100,222.76 and 40,787.28

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Solution

The fourth proportional to 72,618.38, 100,222.76 and 40,787.28 is: 56,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,618.38 : 100,222.76 = 40,787.28 : x
  2. Step 2: Convert to fraction form
    72,618.38/100,222.76 = 40,787.28/x
  3. Step 3: Cross multiply
    72,618.38x = 100,222.76 × 40,787.28
  4. Step 4: Simplify right side
    72,618.38x = 4,087,813,774.49
  5. Step 5: Solve for x
    x = 4,087,813,774.49/72,618.38
  6. Step 6: Final answer
    x = 56,291.72

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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.