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Finding the Fourth Proportional to 82,814.76, 114,169.53 and 55,914.66

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Solution

The fourth proportional to 82,814.76, 114,169.53 and 55,914.66 is: 77,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,814.76 : 114,169.53 = 55,914.66 : x
  2. Step 2: Convert to fraction form
    82,814.76/114,169.53 = 55,914.66/x
  3. Step 3: Cross multiply
    82,814.76x = 114,169.53 × 55,914.66
  4. Step 4: Simplify right side
    82,814.76x = 6,383,750,452.31
  5. Step 5: Solve for x
    x = 6,383,750,452.31/82,814.76
  6. Step 6: Final answer
    x = 77,084.69

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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.