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Finding the Fourth Proportional to 40,503, 55,894.14 and 23,736

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Solution

The fourth proportional to 40,503, 55,894.14 and 23,736 is: 32,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,503 : 55,894.14 = 23,736 : x
  2. Step 2: Convert to fraction form
    40,503/55,894.14 = 23,736/x
  3. Step 3: Cross multiply
    40,503x = 55,894.14 × 23,736
  4. Step 4: Simplify right side
    40,503x = 1,326,703,307.04
  5. Step 5: Solve for x
    x = 1,326,703,307.04/40,503
  6. Step 6: Final answer
    x = 32,755.68

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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.