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Finding the Fourth Proportional to 83,035, 114,640.14 and 53,278.84

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Solution

The fourth proportional to 83,035, 114,640.14 and 53,278.84 is: 73,558.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,035 : 114,640.14 = 53,278.84 : x
  2. Step 2: Convert to fraction form
    83,035/114,640.14 = 53,278.84/x
  3. Step 3: Cross multiply
    83,035x = 114,640.14 × 53,278.84
  4. Step 4: Simplify right side
    83,035x = 6,107,893,676.64
  5. Step 5: Solve for x
    x = 6,107,893,676.64/83,035
  6. Step 6: Final answer
    x = 73,558.06

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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.