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Finding the Fourth Proportional to 47,733.76, 65,868.73 and 27,591.96

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Solution

The fourth proportional to 47,733.76, 65,868.73 and 27,591.96 is: 38,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,733.76 : 65,868.73 = 27,591.96 : x
  2. Step 2: Convert to fraction form
    47,733.76/65,868.73 = 27,591.96/x
  3. Step 3: Cross multiply
    47,733.76x = 65,868.73 × 27,591.96
  4. Step 4: Simplify right side
    47,733.76x = 1,817,447,363.41
  5. Step 5: Solve for x
    x = 1,817,447,363.41/47,733.76
  6. Step 6: Final answer
    x = 38,074.67

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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.