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Finding the Fourth Proportional to 35,634.24, 49,176 and 19,719.74

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Solution

The fourth proportional to 35,634.24, 49,176 and 19,719.74 is: 27,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,634.24 : 49,176 = 19,719.74 : x
  2. Step 2: Convert to fraction form
    35,634.24/49,176 = 19,719.74/x
  3. Step 3: Cross multiply
    35,634.24x = 49,176 × 19,719.74
  4. Step 4: Simplify right side
    35,634.24x = 969,737,934.24
  5. Step 5: Solve for x
    x = 969,737,934.24/35,634.24
  6. Step 6: Final answer
    x = 27,213.66

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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.