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Finding the Fourth Proportional to 82,667.96, 113,976.14 and 53,544.92

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Solution

The fourth proportional to 82,667.96, 113,976.14 and 53,544.92 is: 73,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,667.96 : 113,976.14 = 53,544.92 : x
  2. Step 2: Convert to fraction form
    82,667.96/113,976.14 = 53,544.92/x
  3. Step 3: Cross multiply
    82,667.96x = 113,976.14 × 53,544.92
  4. Step 4: Simplify right side
    82,667.96x = 6,102,843,717.01
  5. Step 5: Solve for x
    x = 6,102,843,717.01/82,667.96
  6. Step 6: Final answer
    x = 73,823.57

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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.