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Finding the Fourth Proportional to 77,207.80, 115,820.34 and 24,605.32

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Solution

The fourth proportional to 77,207.80, 115,820.34 and 24,605.32 is: 36,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,207.80 : 115,820.34 = 24,605.32 : x
  2. Step 2: Convert to fraction form
    77,207.80/115,820.34 = 24,605.32/x
  3. Step 3: Cross multiply
    77,207.80x = 115,820.34 × 24,605.32
  4. Step 4: Simplify right side
    77,207.80x = 2,849,796,528.21
  5. Step 5: Solve for x
    x = 2,849,796,528.21/77,207.80
  6. Step 6: Final answer
    x = 36,910.73

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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.