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Finding the Fourth Proportional to 47,058, 64,945.80 and 27,186

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Solution

The fourth proportional to 47,058, 64,945.80 and 27,186 is: 37,520.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,058 : 64,945.80 = 27,186 : x
  2. Step 2: Convert to fraction form
    47,058/64,945.80 = 27,186/x
  3. Step 3: Cross multiply
    47,058x = 64,945.80 × 27,186
  4. Step 4: Simplify right side
    47,058x = 1,765,616,518.80
  5. Step 5: Solve for x
    x = 1,765,616,518.80/47,058
  6. Step 6: Final answer
    x = 37,520.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.