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Finding the Fourth Proportional to 51,409.53, 70,924.28 and 33,498

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Solution

The fourth proportional to 51,409.53, 70,924.28 and 33,498 is: 46,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,409.53 : 70,924.28 = 33,498 : x
  2. Step 2: Convert to fraction form
    51,409.53/70,924.28 = 33,498/x
  3. Step 3: Cross multiply
    51,409.53x = 70,924.28 × 33,498
  4. Step 4: Simplify right side
    51,409.53x = 2,375,821,363.95
  5. Step 5: Solve for x
    x = 2,375,821,363.95/51,409.53
  6. Step 6: Final answer
    x = 46,213.64

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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.