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Finding the Fourth Proportional to 41,643.72, 57,468.50 and 25,724.52

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Solution

The fourth proportional to 41,643.72, 57,468.50 and 25,724.52 is: 35,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,643.72 : 57,468.50 = 25,724.52 : x
  2. Step 2: Convert to fraction form
    41,643.72/57,468.50 = 25,724.52/x
  3. Step 3: Cross multiply
    41,643.72x = 57,468.50 × 25,724.52
  4. Step 4: Simplify right side
    41,643.72x = 1,478,349,577.62
  5. Step 5: Solve for x
    x = 1,478,349,577.62/41,643.72
  6. Step 6: Final answer
    x = 35,499.94

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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.