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Finding the Fourth Proportional to 47,695.96, 65,823.54 and 27,553.69

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Solution

The fourth proportional to 47,695.96, 65,823.54 and 27,553.69 is: 38,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,695.96 : 65,823.54 = 27,553.69 : x
  2. Step 2: Convert to fraction form
    47,695.96/65,823.54 = 27,553.69/x
  3. Step 3: Cross multiply
    47,695.96x = 65,823.54 × 27,553.69
  4. Step 4: Simplify right side
    47,695.96x = 1,813,681,580.42
  5. Step 5: Solve for x
    x = 1,813,681,580.42/47,695.96
  6. Step 6: Final answer
    x = 38,025.89

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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.