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Finding the Fourth Proportional to 27,602.30, 38,091.18 and 15,027.05

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Solution

The fourth proportional to 27,602.30, 38,091.18 and 15,027.05 is: 20,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.30 : 38,091.18 = 15,027.05 : x
  2. Step 2: Convert to fraction form
    27,602.30/38,091.18 = 15,027.05/x
  3. Step 3: Cross multiply
    27,602.30x = 38,091.18 × 15,027.05
  4. Step 4: Simplify right side
    27,602.30x = 572,398,218.00
  5. Step 5: Solve for x
    x = 572,398,218.00/27,602.30
  6. Step 6: Final answer
    x = 20,737.34

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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.