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Finding the Fourth Proportional to 70,984.65, 106,475.72 and 21,098.48

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Solution

The fourth proportional to 70,984.65, 106,475.72 and 21,098.48 is: 31,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,984.65 : 106,475.72 = 21,098.48 : x
  2. Step 2: Convert to fraction form
    70,984.65/106,475.72 = 21,098.48/x
  3. Step 3: Cross multiply
    70,984.65x = 106,475.72 × 21,098.48
  4. Step 4: Simplify right side
    70,984.65x = 2,246,475,211.03
  5. Step 5: Solve for x
    x = 2,246,475,211.03/70,984.65
  6. Step 6: Final answer
    x = 31,647.34

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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.