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Finding the Fourth Proportional to 48,782.94, 67,326.65 and 27,561.75

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Solution

The fourth proportional to 48,782.94, 67,326.65 and 27,561.75 is: 38,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,782.94 : 67,326.65 = 27,561.75 : x
  2. Step 2: Convert to fraction form
    48,782.94/67,326.65 = 27,561.75/x
  3. Step 3: Cross multiply
    48,782.94x = 67,326.65 × 27,561.75
  4. Step 4: Simplify right side
    48,782.94x = 1,855,640,157.83
  5. Step 5: Solve for x
    x = 1,855,640,157.83/48,782.94
  6. Step 6: Final answer
    x = 38,038.71

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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.