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Finding the Fourth Proportional to 124,447.24, 171,736.50 and 67,857.40

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Solution

The fourth proportional to 124,447.24, 171,736.50 and 67,857.40 is: 93,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,447.24 : 171,736.50 = 67,857.40 : x
  2. Step 2: Convert to fraction form
    124,447.24/171,736.50 = 67,857.40/x
  3. Step 3: Cross multiply
    124,447.24x = 171,736.50 × 67,857.40
  4. Step 4: Simplify right side
    124,447.24x = 11,653,592,375.10
  5. Step 5: Solve for x
    x = 11,653,592,375.10/124,447.24
  6. Step 6: Final answer
    x = 93,642.84

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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.