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Finding the Fourth Proportional to 27,835.72, 38,390.98 and 24,471.40

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Solution

The fourth proportional to 27,835.72, 38,390.98 and 24,471.40 is: 33,750.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835.72 : 38,390.98 = 24,471.40 : x
  2. Step 2: Convert to fraction form
    27,835.72/38,390.98 = 24,471.40/x
  3. Step 3: Cross multiply
    27,835.72x = 38,390.98 × 24,471.40
  4. Step 4: Simplify right side
    27,835.72x = 939,481,027.97
  5. Step 5: Solve for x
    x = 939,481,027.97/27,835.72
  6. Step 6: Final answer
    x = 33,750.92

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