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Finding the Fourth Proportional to 51,334.70, 70,841.88 and 31,198.07

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Solution

The fourth proportional to 51,334.70, 70,841.88 and 31,198.07 is: 43,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,334.70 : 70,841.88 = 31,198.07 : x
  2. Step 2: Convert to fraction form
    51,334.70/70,841.88 = 31,198.07/x
  3. Step 3: Cross multiply
    51,334.70x = 70,841.88 × 31,198.07
  4. Step 4: Simplify right side
    51,334.70x = 2,210,129,913.15
  5. Step 5: Solve for x
    x = 2,210,129,913.15/51,334.70
  6. Step 6: Final answer
    x = 43,053.33

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1.5x scale

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.