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Finding the Fourth Proportional to 82,149.91, 113,314.67 and 53,857.42

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Solution

The fourth proportional to 82,149.91, 113,314.67 and 53,857.42 is: 74,289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,149.91 : 113,314.67 = 53,857.42 : x
  2. Step 2: Convert to fraction form
    82,149.91/113,314.67 = 53,857.42/x
  3. Step 3: Cross multiply
    82,149.91x = 113,314.67 × 53,857.42
  4. Step 4: Simplify right side
    82,149.91x = 6,102,835,774.35
  5. Step 5: Solve for x
    x = 6,102,835,774.35/82,149.91
  6. Step 6: Final answer
    x = 74,289.01

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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.