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Finding the Fourth Proportional to 73,407.94, 101,310.04 and 41,142.40

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Solution

The fourth proportional to 73,407.94, 101,310.04 and 41,142.40 is: 56,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,407.94 : 101,310.04 = 41,142.40 : x
  2. Step 2: Convert to fraction form
    73,407.94/101,310.04 = 41,142.40/x
  3. Step 3: Cross multiply
    73,407.94x = 101,310.04 × 41,142.40
  4. Step 4: Simplify right side
    73,407.94x = 4,168,138,189.70
  5. Step 5: Solve for x
    x = 4,168,138,189.70/73,407.94
  6. Step 6: Final answer
    x = 56,780.48

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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.