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Finding the Fourth Proportional to 71,226.44, 98,283.86 and 39,391

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Solution

The fourth proportional to 71,226.44, 98,283.86 and 39,391 is: 54,354.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,226.44 : 98,283.86 = 39,391 : x
  2. Step 2: Convert to fraction form
    71,226.44/98,283.86 = 39,391/x
  3. Step 3: Cross multiply
    71,226.44x = 98,283.86 × 39,391
  4. Step 4: Simplify right side
    71,226.44x = 3,871,499,529.26
  5. Step 5: Solve for x
    x = 3,871,499,529.26/71,226.44
  6. Step 6: Final answer
    x = 54,354.81

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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.