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Finding the Fourth Proportional to 72,184.91, 108,282.83 and 19,598.49

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Solution

The fourth proportional to 72,184.91, 108,282.83 and 19,598.49 is: 29,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,184.91 : 108,282.83 = 19,598.49 : x
  2. Step 2: Convert to fraction form
    72,184.91/108,282.83 = 19,598.49/x
  3. Step 3: Cross multiply
    72,184.91x = 108,282.83 × 19,598.49
  4. Step 4: Simplify right side
    72,184.91x = 2,122,179,862.93
  5. Step 5: Solve for x
    x = 2,122,179,862.93/72,184.91
  6. Step 6: Final answer
    x = 29,399.22

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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.