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Finding the Fourth Proportional to 77,842.46, 116,662.17 and 35,707.34

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Solution

The fourth proportional to 77,842.46, 116,662.17 and 35,707.34 is: 53,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,842.46 : 116,662.17 = 35,707.34 : x
  2. Step 2: Convert to fraction form
    77,842.46/116,662.17 = 35,707.34/x
  3. Step 3: Cross multiply
    77,842.46x = 116,662.17 × 35,707.34
  4. Step 4: Simplify right side
    77,842.46x = 4,165,695,769.33
  5. Step 5: Solve for x
    x = 4,165,695,769.33/77,842.46
  6. Step 6: Final answer
    x = 53,514.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.