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Finding the Fourth Proportional to 47,374.16, 71,023.75 and 17,788.70

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Solution

The fourth proportional to 47,374.16, 71,023.75 and 17,788.70 is: 26,668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,374.16 : 71,023.75 = 17,788.70 : x
  2. Step 2: Convert to fraction form
    47,374.16/71,023.75 = 17,788.70/x
  3. Step 3: Cross multiply
    47,374.16x = 71,023.75 × 17,788.70
  4. Step 4: Simplify right side
    47,374.16x = 1,263,419,782.03
  5. Step 5: Solve for x
    x = 1,263,419,782.03/47,374.16
  6. Step 6: Final answer
    x = 26,668.97

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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.