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Finding the Fourth Proportional to 27,058.50, 40,589.91 and 8,590.50

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Solution

The fourth proportional to 27,058.50, 40,589.91 and 8,590.50 is: 12,886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,058.50 : 40,589.91 = 8,590.50 : x
  2. Step 2: Convert to fraction form
    27,058.50/40,589.91 = 8,590.50/x
  3. Step 3: Cross multiply
    27,058.50x = 40,589.91 × 8,590.50
  4. Step 4: Simplify right side
    27,058.50x = 348,687,621.86
  5. Step 5: Solve for x
    x = 348,687,621.86/27,058.50
  6. Step 6: Final answer
    x = 12,886.44

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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.