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Finding the Fourth Proportional to 70,948.47, 106,448.66 and 33,015.84

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Solution

The fourth proportional to 70,948.47, 106,448.66 and 33,015.84 is: 49,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,948.47 : 106,448.66 = 33,015.84 : x
  2. Step 2: Convert to fraction form
    70,948.47/106,448.66 = 33,015.84/x
  3. Step 3: Cross multiply
    70,948.47x = 106,448.66 × 33,015.84
  4. Step 4: Simplify right side
    70,948.47x = 3,514,491,486.32
  5. Step 5: Solve for x
    x = 3,514,491,486.32/70,948.47
  6. Step 6: Final answer
    x = 49,535.83

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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.