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Finding the Fourth Proportional to 33,648.34, 50,479.71 and 10,276.50

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Solution

The fourth proportional to 33,648.34, 50,479.71 and 10,276.50 is: 15,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,648.34 : 50,479.71 = 10,276.50 : x
  2. Step 2: Convert to fraction form
    33,648.34/50,479.71 = 10,276.50/x
  3. Step 3: Cross multiply
    33,648.34x = 50,479.71 × 10,276.50
  4. Step 4: Simplify right side
    33,648.34x = 518,754,739.82
  5. Step 5: Solve for x
    x = 518,754,739.82/33,648.34
  6. Step 6: Final answer
    x = 15,416.95

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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.