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Finding the Fourth Proportional to 73,987.96, 102,103.02 and 41,726

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Solution

The fourth proportional to 73,987.96, 102,103.02 and 41,726 is: 57,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,987.96 : 102,103.02 = 41,726 : x
  2. Step 2: Convert to fraction form
    73,987.96/102,103.02 = 41,726/x
  3. Step 3: Cross multiply
    73,987.96x = 102,103.02 × 41,726
  4. Step 4: Simplify right side
    73,987.96x = 4,260,350,612.52
  5. Step 5: Solve for x
    x = 4,260,350,612.52/73,987.96
  6. Step 6: Final answer
    x = 57,581.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.