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Finding the Fourth Proportional to 70,357.60, 105,545.51 and 22,956

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Solution

The fourth proportional to 70,357.60, 105,545.51 and 22,956 is: 34,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,357.60 : 105,545.51 = 22,956 : x
  2. Step 2: Convert to fraction form
    70,357.60/105,545.51 = 22,956/x
  3. Step 3: Cross multiply
    70,357.60x = 105,545.51 × 22,956
  4. Step 4: Simplify right side
    70,357.60x = 2,422,902,727.56
  5. Step 5: Solve for x
    x = 2,422,902,727.56/70,357.60
  6. Step 6: Final answer
    x = 34,436.97

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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.