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Finding the Fourth Proportional to 73,697.68, 101,705.52 and 41,871.97

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Solution

The fourth proportional to 73,697.68, 101,705.52 and 41,871.97 is: 57,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,697.68 : 101,705.52 = 41,871.97 : x
  2. Step 2: Convert to fraction form
    73,697.68/101,705.52 = 41,871.97/x
  3. Step 3: Cross multiply
    73,697.68x = 101,705.52 × 41,871.97
  4. Step 4: Simplify right side
    73,697.68x = 4,258,610,482.27
  5. Step 5: Solve for x
    x = 4,258,610,482.27/73,697.68
  6. Step 6: Final answer
    x = 57,784.86

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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.