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Finding the Fourth Proportional to 27,704.61, 38,206.40 and 22,058.00

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Solution

The fourth proportional to 27,704.61, 38,206.40 and 22,058.00 is: 30,419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,704.61 : 38,206.40 = 22,058.00 : x
  2. Step 2: Convert to fraction form
    27,704.61/38,206.40 = 22,058.00/x
  3. Step 3: Cross multiply
    27,704.61x = 38,206.40 × 22,058.00
  4. Step 4: Simplify right side
    27,704.61x = 842,756,635.31
  5. Step 5: Solve for x
    x = 842,756,635.31/27,704.61
  6. Step 6: Final answer
    x = 30,419.36

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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.