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Finding the Fourth Proportional to 70,509.62, 105,759.47 and 33,077.90

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Solution

The fourth proportional to 70,509.62, 105,759.47 and 33,077.90 is: 49,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,509.62 : 105,759.47 = 33,077.90 : x
  2. Step 2: Convert to fraction form
    70,509.62/105,759.47 = 33,077.90/x
  3. Step 3: Cross multiply
    70,509.62x = 105,759.47 × 33,077.90
  4. Step 4: Simplify right side
    70,509.62x = 3,498,301,519.81
  5. Step 5: Solve for x
    x = 3,498,301,519.81/70,509.62
  6. Step 6: Final answer
    x = 49,614.53

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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.