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Finding the Fourth Proportional to 77,083.80, 115,604.10 and 24,509.40

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Solution

The fourth proportional to 77,083.80, 115,604.10 and 24,509.40 is: 36,757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,083.80 : 115,604.10 = 24,509.40 : x
  2. Step 2: Convert to fraction form
    77,083.80/115,604.10 = 24,509.40/x
  3. Step 3: Cross multiply
    77,083.80x = 115,604.10 × 24,509.40
  4. Step 4: Simplify right side
    77,083.80x = 2,833,387,128.54
  5. Step 5: Solve for x
    x = 2,833,387,128.54/77,083.80
  6. Step 6: Final answer
    x = 36,757.23

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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.