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Finding the Fourth Proportional to 72,103.67, 99,502.48 and 39,838.19

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Solution

The fourth proportional to 72,103.67, 99,502.48 and 39,838.19 is: 54,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,103.67 : 99,502.48 = 39,838.19 : x
  2. Step 2: Convert to fraction form
    72,103.67/99,502.48 = 39,838.19/x
  3. Step 3: Cross multiply
    72,103.67x = 99,502.48 × 39,838.19
  4. Step 4: Simplify right side
    72,103.67x = 3,963,998,504.75
  5. Step 5: Solve for x
    x = 3,963,998,504.75/72,103.67
  6. Step 6: Final answer
    x = 54,976.38

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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.