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Finding the Fourth Proportional to 47,719.36, 71,442.96 and 37,873

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Solution

The fourth proportional to 47,719.36, 71,442.96 and 37,873 is: 56,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,719.36 : 71,442.96 = 37,873 : x
  2. Step 2: Convert to fraction form
    47,719.36/71,442.96 = 37,873/x
  3. Step 3: Cross multiply
    47,719.36x = 71,442.96 × 37,873
  4. Step 4: Simplify right side
    47,719.36x = 2,705,759,224.08
  5. Step 5: Solve for x
    x = 2,705,759,224.08/47,719.36
  6. Step 6: Final answer
    x = 56,701.50

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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.