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Finding the Fourth Proportional to 49,762.42, 74,642.28 and 20,179.60

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Solution

The fourth proportional to 49,762.42, 74,642.28 and 20,179.60 is: 30,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762.42 : 74,642.28 = 20,179.60 : x
  2. Step 2: Convert to fraction form
    49,762.42/74,642.28 = 20,179.60/x
  3. Step 3: Cross multiply
    49,762.42x = 74,642.28 × 20,179.60
  4. Step 4: Simplify right side
    49,762.42x = 1,506,251,353.49
  5. Step 5: Solve for x
    x = 1,506,251,353.49/49,762.42
  6. Step 6: Final answer
    x = 30,268.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.