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Finding the Fourth Proportional to 73,743.04, 101,766 and 40,209.04

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Solution

The fourth proportional to 73,743.04, 101,766 and 40,209.04 is: 55,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,743.04 : 101,766 = 40,209.04 : x
  2. Step 2: Convert to fraction form
    73,743.04/101,766 = 40,209.04/x
  3. Step 3: Cross multiply
    73,743.04x = 101,766 × 40,209.04
  4. Step 4: Simplify right side
    73,743.04x = 4,091,913,164.64
  5. Step 5: Solve for x
    x = 4,091,913,164.64/73,743.04
  6. Step 6: Final answer
    x = 55,488.80

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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.