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Finding the Fourth Proportional to 48,605.96, 72,906.51 and 19,029.22

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Solution

The fourth proportional to 48,605.96, 72,906.51 and 19,029.22 is: 28,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,605.96 : 72,906.51 = 19,029.22 : x
  2. Step 2: Convert to fraction form
    48,605.96/72,906.51 = 19,029.22/x
  3. Step 3: Cross multiply
    48,605.96x = 72,906.51 × 19,029.22
  4. Step 4: Simplify right side
    48,605.96x = 1,387,353,653.69
  5. Step 5: Solve for x
    x = 1,387,353,653.69/48,605.96
  6. Step 6: Final answer
    x = 28,542.87

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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.