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Finding the Fourth Proportional to 49,435.76, 74,202.84 and 27,259.58

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Solution

The fourth proportional to 49,435.76, 74,202.84 and 27,259.58 is: 40,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,435.76 : 74,202.84 = 27,259.58 : x
  2. Step 2: Convert to fraction form
    49,435.76/74,202.84 = 27,259.58/x
  3. Step 3: Cross multiply
    49,435.76x = 74,202.84 × 27,259.58
  4. Step 4: Simplify right side
    49,435.76x = 2,022,737,882.19
  5. Step 5: Solve for x
    x = 2,022,737,882.19/49,435.76
  6. Step 6: Final answer
    x = 40,916.50

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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.