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Finding the Fourth Proportional to 67,068, 100,448.91 and 32,032.26

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Solution

The fourth proportional to 67,068, 100,448.91 and 32,032.26 is: 47,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,068 : 100,448.91 = 32,032.26 : x
  2. Step 2: Convert to fraction form
    67,068/100,448.91 = 32,032.26/x
  3. Step 3: Cross multiply
    67,068x = 100,448.91 × 32,032.26
  4. Step 4: Simplify right side
    67,068x = 3,217,605,601.84
  5. Step 5: Solve for x
    x = 3,217,605,601.84/67,068
  6. Step 6: Final answer
    x = 47,975.27

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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.