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Finding the Fourth Proportional to 83,282.52, 114,927.84 and 51,029.67

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Solution

The fourth proportional to 83,282.52, 114,927.84 and 51,029.67 is: 70,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,282.52 : 114,927.84 = 51,029.67 : x
  2. Step 2: Convert to fraction form
    83,282.52/114,927.84 = 51,029.67/x
  3. Step 3: Cross multiply
    83,282.52x = 114,927.84 × 51,029.67
  4. Step 4: Simplify right side
    83,282.52x = 5,864,729,749.01
  5. Step 5: Solve for x
    x = 5,864,729,749.01/83,282.52
  6. Step 6: Final answer
    x = 70,419.70

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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.