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Finding the Fourth Proportional to 70,737.34, 106,112.93 and 25,770.91

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Solution

The fourth proportional to 70,737.34, 106,112.93 and 25,770.91 is: 38,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,737.34 : 106,112.93 = 25,770.91 : x
  2. Step 2: Convert to fraction form
    70,737.34/106,112.93 = 25,770.91/x
  3. Step 3: Cross multiply
    70,737.34x = 106,112.93 × 25,770.91
  4. Step 4: Simplify right side
    70,737.34x = 2,734,626,768.87
  5. Step 5: Solve for x
    x = 2,734,626,768.87/70,737.34
  6. Step 6: Final answer
    x = 38,658.89

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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.