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Finding the Fourth Proportional to 77,108.74, 115,674.63 and 24,519.94

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Solution

The fourth proportional to 77,108.74, 115,674.63 and 24,519.94 is: 36,783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,108.74 : 115,674.63 = 24,519.94 : x
  2. Step 2: Convert to fraction form
    77,108.74/115,674.63 = 24,519.94/x
  3. Step 3: Cross multiply
    77,108.74x = 115,674.63 × 24,519.94
  4. Step 4: Simplify right side
    77,108.74x = 2,836,334,987.12
  5. Step 5: Solve for x
    x = 2,836,334,987.12/77,108.74
  6. Step 6: Final answer
    x = 36,783.57

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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.