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Finding the Fourth Proportional to 70,358.10, 105,546.27 and 22,956.50

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Solution

The fourth proportional to 70,358.10, 105,546.27 and 22,956.50 is: 34,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,358.10 : 105,546.27 = 22,956.50 : x
  2. Step 2: Convert to fraction form
    70,358.10/105,546.27 = 22,956.50/x
  3. Step 3: Cross multiply
    70,358.10x = 105,546.27 × 22,956.50
  4. Step 4: Simplify right side
    70,358.10x = 2,422,972,947.26
  5. Step 5: Solve for x
    x = 2,422,972,947.26/70,358.10
  6. Step 6: Final answer
    x = 34,437.73

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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.