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Finding the Fourth Proportional to 47,688.67, 65,806.68 and 27,546.40

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Solution

The fourth proportional to 47,688.67, 65,806.68 and 27,546.40 is: 38,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,688.67 : 65,806.68 = 27,546.40 : x
  2. Step 2: Convert to fraction form
    47,688.67/65,806.68 = 27,546.40/x
  3. Step 3: Cross multiply
    47,688.67x = 65,806.68 × 27,546.40
  4. Step 4: Simplify right side
    47,688.67x = 1,812,737,129.95
  5. Step 5: Solve for x
    x = 1,812,737,129.95/47,688.67
  6. Step 6: Final answer
    x = 38,011.90

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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.