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Finding the Fourth Proportional to 47,199.93, 65,137.14 and 25,691.10

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Solution

The fourth proportional to 47,199.93, 65,137.14 and 25,691.10 is: 35,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,199.93 : 65,137.14 = 25,691.10 : x
  2. Step 2: Convert to fraction form
    47,199.93/65,137.14 = 25,691.10/x
  3. Step 3: Cross multiply
    47,199.93x = 65,137.14 × 25,691.10
  4. Step 4: Simplify right side
    47,199.93x = 1,673,444,777.45
  5. Step 5: Solve for x
    x = 1,673,444,777.45/47,199.93
  6. Step 6: Final answer
    x = 35,454.39

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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.