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Finding the Fourth Proportional to 64,138.50, 88,509.48 and 35,844.42

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Solution

The fourth proportional to 64,138.50, 88,509.48 and 35,844.42 is: 49,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,138.50 : 88,509.48 = 35,844.42 : x
  2. Step 2: Convert to fraction form
    64,138.50/88,509.48 = 35,844.42/x
  3. Step 3: Cross multiply
    64,138.50x = 88,509.48 × 35,844.42
  4. Step 4: Simplify right side
    64,138.50x = 3,172,570,975.10
  5. Step 5: Solve for x
    x = 3,172,570,975.10/64,138.50
  6. Step 6: Final answer
    x = 49,464.38

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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.