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Finding the Fourth Proportional to 70,726.14, 105,947.16 and 32,722.20

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Solution

The fourth proportional to 70,726.14, 105,947.16 and 32,722.20 is: 49,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,726.14 : 105,947.16 = 32,722.20 : x
  2. Step 2: Convert to fraction form
    70,726.14/105,947.16 = 32,722.20/x
  3. Step 3: Cross multiply
    70,726.14x = 105,947.16 × 32,722.20
  4. Step 4: Simplify right side
    70,726.14x = 3,466,824,158.95
  5. Step 5: Solve for x
    x = 3,466,824,158.95/70,726.14
  6. Step 6: Final answer
    x = 49,017.58

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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.