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Finding the Fourth Proportional to 47,751.54, 65,868.82 and 32,636.53

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Solution

The fourth proportional to 47,751.54, 65,868.82 and 32,636.53 is: 45,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751.54 : 65,868.82 = 32,636.53 : x
  2. Step 2: Convert to fraction form
    47,751.54/65,868.82 = 32,636.53/x
  3. Step 3: Cross multiply
    47,751.54x = 65,868.82 × 32,636.53
  4. Step 4: Simplify right side
    47,751.54x = 2,149,729,719.99
  5. Step 5: Solve for x
    x = 2,149,729,719.99/47,751.54
  6. Step 6: Final answer
    x = 45,019.07

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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.