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Finding the Fourth Proportional to 70,938.72, 106,423.20 and 24,222.24

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Solution

The fourth proportional to 70,938.72, 106,423.20 and 24,222.24 is: 36,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,938.72 : 106,423.20 = 24,222.24 : x
  2. Step 2: Convert to fraction form
    70,938.72/106,423.20 = 24,222.24/x
  3. Step 3: Cross multiply
    70,938.72x = 106,423.20 × 24,222.24
  4. Step 4: Simplify right side
    70,938.72x = 2,577,808,291.97
  5. Step 5: Solve for x
    x = 2,577,808,291.97/70,938.72
  6. Step 6: Final answer
    x = 36,338.52

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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.