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Finding the Fourth Proportional to 70,844.63, 106,283.34 and 24,097.50

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Solution

The fourth proportional to 70,844.63, 106,283.34 and 24,097.50 is: 36,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,844.63 : 106,283.34 = 24,097.50 : x
  2. Step 2: Convert to fraction form
    70,844.63/106,283.34 = 24,097.50/x
  3. Step 3: Cross multiply
    70,844.63x = 106,283.34 × 24,097.50
  4. Step 4: Simplify right side
    70,844.63x = 2,561,162,785.65
  5. Step 5: Solve for x
    x = 2,561,162,785.65/70,844.63
  6. Step 6: Final answer
    x = 36,151.83

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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.