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Finding the Fourth Proportional to 77,141.39, 115,758.06 and 34,443.50

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Solution

The fourth proportional to 77,141.39, 115,758.06 and 34,443.50 is: 51,685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,141.39 : 115,758.06 = 34,443.50 : x
  2. Step 2: Convert to fraction form
    77,141.39/115,758.06 = 34,443.50/x
  3. Step 3: Cross multiply
    77,141.39x = 115,758.06 × 34,443.50
  4. Step 4: Simplify right side
    77,141.39x = 3,987,112,160.82
  5. Step 5: Solve for x
    x = 3,987,112,160.82/77,141.39
  6. Step 6: Final answer
    x = 51,685.77

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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.