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Finding the Fourth Proportional to 77,094.57, 115,637.72 and 24,499.97

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Solution

The fourth proportional to 77,094.57, 115,637.72 and 24,499.97 is: 36,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,094.57 : 115,637.72 = 24,499.97 : x
  2. Step 2: Convert to fraction form
    77,094.57/115,637.72 = 24,499.97/x
  3. Step 3: Cross multiply
    77,094.57x = 115,637.72 × 24,499.97
  4. Step 4: Simplify right side
    77,094.57x = 2,833,120,092.68
  5. Step 5: Solve for x
    x = 2,833,120,092.68/77,094.57
  6. Step 6: Final answer
    x = 36,748.63

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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.