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Finding the Fourth Proportional to 83,957.20, 125,935.80 and 64,930.30

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Solution

The fourth proportional to 83,957.20, 125,935.80 and 64,930.30 is: 97,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,957.20 : 125,935.80 = 64,930.30 : x
  2. Step 2: Convert to fraction form
    83,957.20/125,935.80 = 64,930.30/x
  3. Step 3: Cross multiply
    83,957.20x = 125,935.80 × 64,930.30
  4. Step 4: Simplify right side
    83,957.20x = 8,177,049,274.74
  5. Step 5: Solve for x
    x = 8,177,049,274.74/83,957.20
  6. Step 6: Final answer
    x = 97,395.45

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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.