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Finding the Fourth Proportional to 35,886.25, 49,522.97 and 22,269.23

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Solution

The fourth proportional to 35,886.25, 49,522.97 and 22,269.23 is: 30,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,886.25 : 49,522.97 = 22,269.23 : x
  2. Step 2: Convert to fraction form
    35,886.25/49,522.97 = 22,269.23/x
  3. Step 3: Cross multiply
    35,886.25x = 49,522.97 × 22,269.23
  4. Step 4: Simplify right side
    35,886.25x = 1,102,838,340.35
  5. Step 5: Solve for x
    x = 1,102,838,340.35/35,886.25
  6. Step 6: Final answer
    x = 30,731.50

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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.