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Finding the Fourth Proportional to 64,464.41, 88,959.47 and 35,782.38

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Solution

The fourth proportional to 64,464.41, 88,959.47 and 35,782.38 is: 49,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,464.41 : 88,959.47 = 35,782.38 : x
  2. Step 2: Convert to fraction form
    64,464.41/88,959.47 = 35,782.38/x
  3. Step 3: Cross multiply
    64,464.41x = 88,959.47 × 35,782.38
  4. Step 4: Simplify right side
    64,464.41x = 3,183,181,560.14
  5. Step 5: Solve for x
    x = 3,183,181,560.14/64,464.41
  6. Step 6: Final answer
    x = 49,378.90

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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.