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Finding the Fourth Proportional to 51,682.88, 77,542.74 and 25,406.07

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Solution

The fourth proportional to 51,682.88, 77,542.74 and 25,406.07 is: 38,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,682.88 : 77,542.74 = 25,406.07 : x
  2. Step 2: Convert to fraction form
    51,682.88/77,542.74 = 25,406.07/x
  3. Step 3: Cross multiply
    51,682.88x = 77,542.74 × 25,406.07
  4. Step 4: Simplify right side
    51,682.88x = 1,970,056,280.43
  5. Step 5: Solve for x
    x = 1,970,056,280.43/51,682.88
  6. Step 6: Final answer
    x = 38,118.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.