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Finding the Fourth Proportional to 34,176.52, 51,264.80 and 9,552.52

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Solution

The fourth proportional to 34,176.52, 51,264.80 and 9,552.52 is: 14,328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,176.52 : 51,264.80 = 9,552.52 : x
  2. Step 2: Convert to fraction form
    34,176.52/51,264.80 = 9,552.52/x
  3. Step 3: Cross multiply
    34,176.52x = 51,264.80 × 9,552.52
  4. Step 4: Simplify right side
    34,176.52x = 489,708,027.30
  5. Step 5: Solve for x
    x = 489,708,027.30/34,176.52
  6. Step 6: Final answer
    x = 14,328.79

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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.