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Finding the Fourth Proportional to 70,357.34, 105,537.36 and 22,972.34

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Solution

The fourth proportional to 70,357.34, 105,537.36 and 22,972.34 is: 34,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,357.34 : 105,537.36 = 22,972.34 : x
  2. Step 2: Convert to fraction form
    70,357.34/105,537.36 = 22,972.34/x
  3. Step 3: Cross multiply
    70,357.34x = 105,537.36 × 22,972.34
  4. Step 4: Simplify right side
    70,357.34x = 2,424,440,116.62
  5. Step 5: Solve for x
    x = 2,424,440,116.62/70,357.34
  6. Step 6: Final answer
    x = 34,458.95

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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.