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Finding the Fourth Proportional to 84,514.96, 116,709.66 and 54,352.65

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Solution

The fourth proportional to 84,514.96, 116,709.66 and 54,352.65 is: 75,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,514.96 : 116,709.66 = 54,352.65 : x
  2. Step 2: Convert to fraction form
    84,514.96/116,709.66 = 54,352.65/x
  3. Step 3: Cross multiply
    84,514.96x = 116,709.66 × 54,352.65
  4. Step 4: Simplify right side
    84,514.96x = 6,343,479,739.26
  5. Step 5: Solve for x
    x = 6,343,479,739.26/84,514.96
  6. Step 6: Final answer
    x = 75,057.48

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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.