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Finding the Fourth Proportional to 73,006.10, 100,769.96 and 42,797.96

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Solution

The fourth proportional to 73,006.10, 100,769.96 and 42,797.96 is: 59,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,006.10 : 100,769.96 = 42,797.96 : x
  2. Step 2: Convert to fraction form
    73,006.10/100,769.96 = 42,797.96/x
  3. Step 3: Cross multiply
    73,006.10x = 100,769.96 × 42,797.96
  4. Step 4: Simplify right side
    73,006.10x = 4,312,748,429.12
  5. Step 5: Solve for x
    x = 4,312,748,429.12/73,006.10
  6. Step 6: Final answer
    x = 59,073.81

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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.