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Finding the Fourth Proportional to 65,648.48, 98,472.72 and 52,439

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Solution

The fourth proportional to 65,648.48, 98,472.72 and 52,439 is: 78,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,648.48 : 98,472.72 = 52,439 : x
  2. Step 2: Convert to fraction form
    65,648.48/98,472.72 = 52,439/x
  3. Step 3: Cross multiply
    65,648.48x = 98,472.72 × 52,439
  4. Step 4: Simplify right side
    65,648.48x = 5,163,810,964.08
  5. Step 5: Solve for x
    x = 5,163,810,964.08/65,648.48
  6. Step 6: Final answer
    x = 78,658.50

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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.