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Finding the Fourth Proportional to 77,338.75, 116,015.19 and 24,031.03

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Solution

The fourth proportional to 77,338.75, 116,015.19 and 24,031.03 is: 36,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,338.75 : 116,015.19 = 24,031.03 : x
  2. Step 2: Convert to fraction form
    77,338.75/116,015.19 = 24,031.03/x
  3. Step 3: Cross multiply
    77,338.75x = 116,015.19 × 24,031.03
  4. Step 4: Simplify right side
    77,338.75x = 2,787,964,511.35
  5. Step 5: Solve for x
    x = 2,787,964,511.35/77,338.75
  6. Step 6: Final answer
    x = 36,048.74

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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.