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Finding the Fourth Proportional to 77,103, 115,656.53 and 24,512.49

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Solution

The fourth proportional to 77,103, 115,656.53 and 24,512.49 is: 36,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,103 : 115,656.53 = 24,512.49 : x
  2. Step 2: Convert to fraction form
    77,103/115,656.53 = 24,512.49/x
  3. Step 3: Cross multiply
    77,103x = 115,656.53 × 24,512.49
  4. Step 4: Simplify right side
    77,103x = 2,835,029,412.50
  5. Step 5: Solve for x
    x = 2,835,029,412.50/77,103
  6. Step 6: Final answer
    x = 36,769.38

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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.