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Finding the Fourth Proportional to 52,894.26, 72,992.07 and 30,232.08

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Solution

The fourth proportional to 52,894.26, 72,992.07 and 30,232.08 is: 41,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,894.26 : 72,992.07 = 30,232.08 : x
  2. Step 2: Convert to fraction form
    52,894.26/72,992.07 = 30,232.08/x
  3. Step 3: Cross multiply
    52,894.26x = 72,992.07 × 30,232.08
  4. Step 4: Simplify right side
    52,894.26x = 2,206,702,099.61
  5. Step 5: Solve for x
    x = 2,206,702,099.61/52,894.26
  6. Step 6: Final answer
    x = 41,719.12

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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.