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Finding the Fourth Proportional to 47,205.53, 65,138.28 and 27,823.17

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Solution

The fourth proportional to 47,205.53, 65,138.28 and 27,823.17 is: 38,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,205.53 : 65,138.28 = 27,823.17 : x
  2. Step 2: Convert to fraction form
    47,205.53/65,138.28 = 27,823.17/x
  3. Step 3: Cross multiply
    47,205.53x = 65,138.28 × 27,823.17
  4. Step 4: Simplify right side
    47,205.53x = 1,812,353,437.95
  5. Step 5: Solve for x
    x = 1,812,353,437.95/47,205.53
  6. Step 6: Final answer
    x = 38,392.82

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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.