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Finding the Fourth Proportional to 29,242.54, 40,307.30 and 22,857.85

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Solution

The fourth proportional to 29,242.54, 40,307.30 and 22,857.85 is: 31,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,242.54 : 40,307.30 = 22,857.85 : x
  2. Step 2: Convert to fraction form
    29,242.54/40,307.30 = 22,857.85/x
  3. Step 3: Cross multiply
    29,242.54x = 40,307.30 × 22,857.85
  4. Step 4: Simplify right side
    29,242.54x = 921,338,015.77
  5. Step 5: Solve for x
    x = 921,338,015.77/29,242.54
  6. Step 6: Final answer
    x = 31,506.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.