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Finding the Fourth Proportional to 73,698.56, 110,469.02 and 38,124.07

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Solution

The fourth proportional to 73,698.56, 110,469.02 and 38,124.07 is: 57,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,698.56 : 110,469.02 = 38,124.07 : x
  2. Step 2: Convert to fraction form
    73,698.56/110,469.02 = 38,124.07/x
  3. Step 3: Cross multiply
    73,698.56x = 110,469.02 × 38,124.07
  4. Step 4: Simplify right side
    73,698.56x = 4,211,528,184.52
  5. Step 5: Solve for x
    x = 4,211,528,184.52/73,698.56
  6. Step 6: Final answer
    x = 57,145.33

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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.