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Finding the Fourth Proportional to 49,716.66, 74,586 and 23,079

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Solution

The fourth proportional to 49,716.66, 74,586 and 23,079 is: 34,623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,716.66 : 74,586 = 23,079 : x
  2. Step 2: Convert to fraction form
    49,716.66/74,586 = 23,079/x
  3. Step 3: Cross multiply
    49,716.66x = 74,586 × 23,079
  4. Step 4: Simplify right side
    49,716.66x = 1,721,370,294
  5. Step 5: Solve for x
    x = 1,721,370,294/49,716.66
  6. Step 6: Final answer
    x = 34,623.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.