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Finding the Fourth Proportional to 27,058.70, 40,590.48 and 12,274.58

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Solution

The fourth proportional to 27,058.70, 40,590.48 and 12,274.58 is: 18,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,058.70 : 40,590.48 = 12,274.58 : x
  2. Step 2: Convert to fraction form
    27,058.70/40,590.48 = 12,274.58/x
  3. Step 3: Cross multiply
    27,058.70x = 40,590.48 × 12,274.58
  4. Step 4: Simplify right side
    27,058.70x = 498,231,094.00
  5. Step 5: Solve for x
    x = 498,231,094.00/27,058.70
  6. Step 6: Final answer
    x = 18,412.97

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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.