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Finding the Fourth Proportional to 72,195.84, 108,312.24 and 27,810.69

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Solution

The fourth proportional to 72,195.84, 108,312.24 and 27,810.69 is: 41,723.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,195.84 : 108,312.24 = 27,810.69 : x
  2. Step 2: Convert to fraction form
    72,195.84/108,312.24 = 27,810.69/x
  3. Step 3: Cross multiply
    72,195.84x = 108,312.24 × 27,810.69
  4. Step 4: Simplify right side
    72,195.84x = 3,012,238,129.85
  5. Step 5: Solve for x
    x = 3,012,238,129.85/72,195.84
  6. Step 6: Final answer
    x = 41,723.15

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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.