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Finding the Fourth Proportional to 70,597.74, 105,957.36 and 40,974.42

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Solution

The fourth proportional to 70,597.74, 105,957.36 and 40,974.42 is: 61,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,597.74 : 105,957.36 = 40,974.42 : x
  2. Step 2: Convert to fraction form
    70,597.74/105,957.36 = 40,974.42/x
  3. Step 3: Cross multiply
    70,597.74x = 105,957.36 × 40,974.42
  4. Step 4: Simplify right side
    70,597.74x = 4,341,541,370.73
  5. Step 5: Solve for x
    x = 4,341,541,370.73/70,597.74
  6. Step 6: Final answer
    x = 61,496.89

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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.