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Finding the Fourth Proportional to 77,951.78, 116,873.24 and 39,927.20

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Solution

The fourth proportional to 77,951.78, 116,873.24 and 39,927.20 is: 59,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,951.78 : 116,873.24 = 39,927.20 : x
  2. Step 2: Convert to fraction form
    77,951.78/116,873.24 = 39,927.20/x
  3. Step 3: Cross multiply
    77,951.78x = 116,873.24 × 39,927.20
  4. Step 4: Simplify right side
    77,951.78x = 4,666,420,643.76
  5. Step 5: Solve for x
    x = 4,666,420,643.76/77,951.78
  6. Step 6: Final answer
    x = 59,862.91

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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.