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Finding the Fourth Proportional to 35,269.14, 48,658.14 and 22,522.80

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Solution

The fourth proportional to 35,269.14, 48,658.14 and 22,522.80 is: 31,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,269.14 : 48,658.14 = 22,522.80 : x
  2. Step 2: Convert to fraction form
    35,269.14/48,658.14 = 22,522.80/x
  3. Step 3: Cross multiply
    35,269.14x = 48,658.14 × 22,522.80
  4. Step 4: Simplify right side
    35,269.14x = 1,095,917,555.59
  5. Step 5: Solve for x
    x = 1,095,917,555.59/35,269.14
  6. Step 6: Final answer
    x = 31,072.99

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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.