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Finding the Fourth Proportional to 70,724.82, 106,123.29 and 47,049.03

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Solution

The fourth proportional to 70,724.82, 106,123.29 and 47,049.03 is: 70,597.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,724.82 : 106,123.29 = 47,049.03 : x
  2. Step 2: Convert to fraction form
    70,724.82/106,123.29 = 47,049.03/x
  3. Step 3: Cross multiply
    70,724.82x = 106,123.29 × 47,049.03
  4. Step 4: Simplify right side
    70,724.82x = 4,992,997,854.91
  5. Step 5: Solve for x
    x = 4,992,997,854.91/70,724.82
  6. Step 6: Final answer
    x = 70,597.53

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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.