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Finding the Fourth Proportional to 34,653.38, 47,821.64 and 18,737.82

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Solution

The fourth proportional to 34,653.38, 47,821.64 and 18,737.82 is: 25,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,653.38 : 47,821.64 = 18,737.82 : x
  2. Step 2: Convert to fraction form
    34,653.38/47,821.64 = 18,737.82/x
  3. Step 3: Cross multiply
    34,653.38x = 47,821.64 × 18,737.82
  4. Step 4: Simplify right side
    34,653.38x = 896,073,188.74
  5. Step 5: Solve for x
    x = 896,073,188.74/34,653.38
  6. Step 6: Final answer
    x = 25,858.18

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Why These Related Problems?

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