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Finding the Fourth Proportional to 27,845.78, 41,766.78 and 13,058

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Solution

The fourth proportional to 27,845.78, 41,766.78 and 13,058 is: 19,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,845.78 : 41,766.78 = 13,058 : x
  2. Step 2: Convert to fraction form
    27,845.78/41,766.78 = 13,058/x
  3. Step 3: Cross multiply
    27,845.78x = 41,766.78 × 13,058
  4. Step 4: Simplify right side
    27,845.78x = 545,390,613.24
  5. Step 5: Solve for x
    x = 545,390,613.24/27,845.78
  6. Step 6: Final answer
    x = 19,586.11

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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.