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Finding the Fourth Proportional to 70,590.43, 105,854.56 and 33,161.14

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Solution

The fourth proportional to 70,590.43, 105,854.56 and 33,161.14 is: 49,727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,590.43 : 105,854.56 = 33,161.14 : x
  2. Step 2: Convert to fraction form
    70,590.43/105,854.56 = 33,161.14/x
  3. Step 3: Cross multiply
    70,590.43x = 105,854.56 × 33,161.14
  4. Step 4: Simplify right side
    70,590.43x = 3,510,257,536.26
  5. Step 5: Solve for x
    x = 3,510,257,536.26/70,590.43
  6. Step 6: Final answer
    x = 49,727.10

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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.