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Finding the Fourth Proportional to 47,357.84, 65,362.29 and 28,238.85

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Solution

The fourth proportional to 47,357.84, 65,362.29 and 28,238.85 is: 38,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,357.84 : 65,362.29 = 28,238.85 : x
  2. Step 2: Convert to fraction form
    47,357.84/65,362.29 = 28,238.85/x
  3. Step 3: Cross multiply
    47,357.84x = 65,362.29 × 28,238.85
  4. Step 4: Simplify right side
    47,357.84x = 1,845,755,902.97
  5. Step 5: Solve for x
    x = 1,845,755,902.97/47,357.84
  6. Step 6: Final answer
    x = 38,974.67

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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.