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Finding the Fourth Proportional to 72,727.38, 100,421.91 and 47,246.40

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Solution

The fourth proportional to 72,727.38, 100,421.91 and 47,246.40 is: 65,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,727.38 : 100,421.91 = 47,246.40 : x
  2. Step 2: Convert to fraction form
    72,727.38/100,421.91 = 47,246.40/x
  3. Step 3: Cross multiply
    72,727.38x = 100,421.91 × 47,246.40
  4. Step 4: Simplify right side
    72,727.38x = 4,744,573,728.62
  5. Step 5: Solve for x
    x = 4,744,573,728.62/72,727.38
  6. Step 6: Final answer
    x = 65,237.79

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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.