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Finding the Fourth Proportional to 83,159.78, 114,727.91 and 51,273.32

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Solution

The fourth proportional to 83,159.78, 114,727.91 and 51,273.32 is: 70,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,159.78 : 114,727.91 = 51,273.32 : x
  2. Step 2: Convert to fraction form
    83,159.78/114,727.91 = 51,273.32/x
  3. Step 3: Cross multiply
    83,159.78x = 114,727.91 × 51,273.32
  4. Step 4: Simplify right side
    83,159.78x = 5,882,480,012.36
  5. Step 5: Solve for x
    x = 5,882,480,012.36/83,159.78
  6. Step 6: Final answer
    x = 70,737.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.