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Finding the Fourth Proportional to 77,138.88, 115,699.68 and 52,338.24

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Solution

The fourth proportional to 77,138.88, 115,699.68 and 52,338.24 is: 78,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,138.88 : 115,699.68 = 52,338.24 : x
  2. Step 2: Convert to fraction form
    77,138.88/115,699.68 = 52,338.24/x
  3. Step 3: Cross multiply
    77,138.88x = 115,699.68 × 52,338.24
  4. Step 4: Simplify right side
    77,138.88x = 6,055,517,619.76
  5. Step 5: Solve for x
    x = 6,055,517,619.76/77,138.88
  6. Step 6: Final answer
    x = 78,501.50

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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.