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Finding the Fourth Proportional to 73,707, 110,577.78 and 24,459

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Solution

The fourth proportional to 73,707, 110,577.78 and 24,459 is: 36,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,707 : 110,577.78 = 24,459 : x
  2. Step 2: Convert to fraction form
    73,707/110,577.78 = 24,459/x
  3. Step 3: Cross multiply
    73,707x = 110,577.78 × 24,459
  4. Step 4: Simplify right side
    73,707x = 2,704,621,921.02
  5. Step 5: Solve for x
    x = 2,704,621,921.02/73,707
  6. Step 6: Final answer
    x = 36,694.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.