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Finding the Fourth Proportional to 70,023.29, 105,022.47 and 27,899.84

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Solution

The fourth proportional to 70,023.29, 105,022.47 and 27,899.84 is: 41,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,023.29 : 105,022.47 = 27,899.84 : x
  2. Step 2: Convert to fraction form
    70,023.29/105,022.47 = 27,899.84/x
  3. Step 3: Cross multiply
    70,023.29x = 105,022.47 × 27,899.84
  4. Step 4: Simplify right side
    70,023.29x = 2,930,110,476.59
  5. Step 5: Solve for x
    x = 2,930,110,476.59/70,023.29
  6. Step 6: Final answer
    x = 41,844.80

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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.