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Finding the Fourth Proportional to 77,326.77, 115,957.32 and 27,419.43

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Solution

The fourth proportional to 77,326.77, 115,957.32 and 27,419.43 is: 41,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,326.77 : 115,957.32 = 27,419.43 : x
  2. Step 2: Convert to fraction form
    77,326.77/115,957.32 = 27,419.43/x
  3. Step 3: Cross multiply
    77,326.77x = 115,957.32 × 27,419.43
  4. Step 4: Simplify right side
    77,326.77x = 3,179,483,618.73
  5. Step 5: Solve for x
    x = 3,179,483,618.73/77,326.77
  6. Step 6: Final answer
    x = 41,117.50

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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.