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Finding the Fourth Proportional to 70,187.80, 105,292.14 and 23,429.56

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Solution

The fourth proportional to 70,187.80, 105,292.14 and 23,429.56 is: 35,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,187.80 : 105,292.14 = 23,429.56 : x
  2. Step 2: Convert to fraction form
    70,187.80/105,292.14 = 23,429.56/x
  3. Step 3: Cross multiply
    70,187.80x = 105,292.14 × 23,429.56
  4. Step 4: Simplify right side
    70,187.80x = 2,466,948,511.66
  5. Step 5: Solve for x
    x = 2,466,948,511.66/70,187.80
  6. Step 6: Final answer
    x = 35,147.83

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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.