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Finding the Fourth Proportional to 73,382, 101,268.42 and 39,848

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Solution

The fourth proportional to 73,382, 101,268.42 and 39,848 is: 54,990.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,382 : 101,268.42 = 39,848 : x
  2. Step 2: Convert to fraction form
    73,382/101,268.42 = 39,848/x
  3. Step 3: Cross multiply
    73,382x = 101,268.42 × 39,848
  4. Step 4: Simplify right side
    73,382x = 4,035,344,000.16
  5. Step 5: Solve for x
    x = 4,035,344,000.16/73,382
  6. Step 6: Final answer
    x = 54,990.92

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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.