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Finding the Fourth Proportional to 70,235.34, 105,219.39 and 41,711.85

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Solution

The fourth proportional to 70,235.34, 105,219.39 and 41,711.85 is: 62,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,235.34 : 105,219.39 = 41,711.85 : x
  2. Step 2: Convert to fraction form
    70,235.34/105,219.39 = 41,711.85/x
  3. Step 3: Cross multiply
    70,235.34x = 105,219.39 × 41,711.85
  4. Step 4: Simplify right side
    70,235.34x = 4,388,895,412.77
  5. Step 5: Solve for x
    x = 4,388,895,412.77/70,235.34
  6. Step 6: Final answer
    x = 62,488.42

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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.