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Finding the Fourth Proportional to 73,654.10, 101,643.35 and 41,823.66

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Solution

The fourth proportional to 73,654.10, 101,643.35 and 41,823.66 is: 57,717.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,654.10 : 101,643.35 = 41,823.66 : x
  2. Step 2: Convert to fraction form
    73,654.10/101,643.35 = 41,823.66/x
  3. Step 3: Cross multiply
    73,654.10x = 101,643.35 × 41,823.66
  4. Step 4: Simplify right side
    73,654.10x = 4,251,096,702.54
  5. Step 5: Solve for x
    x = 4,251,096,702.54/73,654.10
  6. Step 6: Final answer
    x = 57,717.04

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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.