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Finding the Fourth Proportional to 70,817.68, 106,229.06 and 24,064.48

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Solution

The fourth proportional to 70,817.68, 106,229.06 and 24,064.48 is: 36,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,817.68 : 106,229.06 = 24,064.48 : x
  2. Step 2: Convert to fraction form
    70,817.68/106,229.06 = 24,064.48/x
  3. Step 3: Cross multiply
    70,817.68x = 106,229.06 × 24,064.48
  4. Step 4: Simplify right side
    70,817.68x = 2,556,347,089.79
  5. Step 5: Solve for x
    x = 2,556,347,089.79/70,817.68
  6. Step 6: Final answer
    x = 36,097.58

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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.