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Finding the Fourth Proportional to 71,816.94, 107,383.41 and 65,542.95

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Solution

The fourth proportional to 71,816.94, 107,383.41 and 65,542.95 is: 98,002.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,816.94 : 107,383.41 = 65,542.95 : x
  2. Step 2: Convert to fraction form
    71,816.94/107,383.41 = 65,542.95/x
  3. Step 3: Cross multiply
    71,816.94x = 107,383.41 × 65,542.95
  4. Step 4: Simplify right side
    71,816.94x = 7,038,225,472.46
  5. Step 5: Solve for x
    x = 7,038,225,472.46/71,816.94
  6. Step 6: Final answer
    x = 98,002.30

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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.