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Finding the Fourth Proportional to 67,642.94, 101,468.87 and 17,724.26

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Solution

The fourth proportional to 67,642.94, 101,468.87 and 17,724.26 is: 26,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,642.94 : 101,468.87 = 17,724.26 : x
  2. Step 2: Convert to fraction form
    67,642.94/101,468.87 = 17,724.26/x
  3. Step 3: Cross multiply
    67,642.94x = 101,468.87 × 17,724.26
  4. Step 4: Simplify right side
    67,642.94x = 1,798,460,037.82
  5. Step 5: Solve for x
    x = 1,798,460,037.82/67,642.94
  6. Step 6: Final answer
    x = 26,587.55

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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.