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Finding the Fourth Proportional to 47,890, 71,846.52 and 15,058

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Solution

The fourth proportional to 47,890, 71,846.52 and 15,058 is: 22,590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,890 : 71,846.52 = 15,058 : x
  2. Step 2: Convert to fraction form
    47,890/71,846.52 = 15,058/x
  3. Step 3: Cross multiply
    47,890x = 71,846.52 × 15,058
  4. Step 4: Simplify right side
    47,890x = 1,081,864,898.16
  5. Step 5: Solve for x
    x = 1,081,864,898.16/47,890
  6. Step 6: Final answer
    x = 22,590.62

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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.