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Finding the Fourth Proportional to 47,198.16, 65,132.24 and 25,686.99

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Solution

The fourth proportional to 47,198.16, 65,132.24 and 25,686.99 is: 35,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,198.16 : 65,132.24 = 25,686.99 : x
  2. Step 2: Convert to fraction form
    47,198.16/65,132.24 = 25,686.99/x
  3. Step 3: Cross multiply
    47,198.16x = 65,132.24 × 25,686.99
  4. Step 4: Simplify right side
    47,198.16x = 1,673,051,069.12
  5. Step 5: Solve for x
    x = 1,673,051,069.12/47,198.16
  6. Step 6: Final answer
    x = 35,447.38

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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.