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Finding the Fourth Proportional to 85,887.84, 118,525.38 and 47,646.23

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Solution

The fourth proportional to 85,887.84, 118,525.38 and 47,646.23 is: 65,751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,887.84 : 118,525.38 = 47,646.23 : x
  2. Step 2: Convert to fraction form
    85,887.84/118,525.38 = 47,646.23/x
  3. Step 3: Cross multiply
    85,887.84x = 118,525.38 × 47,646.23
  4. Step 4: Simplify right side
    85,887.84x = 5,647,286,745.02
  5. Step 5: Solve for x
    x = 5,647,286,745.02/85,887.84
  6. Step 6: Final answer
    x = 65,751.87

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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.