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Finding the Fourth Proportional to 33,156.32, 49,737.17 and 13,434.98

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Solution

The fourth proportional to 33,156.32, 49,737.17 and 13,434.98 is: 20,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156.32 : 49,737.17 = 13,434.98 : x
  2. Step 2: Convert to fraction form
    33,156.32/49,737.17 = 13,434.98/x
  3. Step 3: Cross multiply
    33,156.32x = 49,737.17 × 13,434.98
  4. Step 4: Simplify right side
    33,156.32x = 668,217,669.11
  5. Step 5: Solve for x
    x = 668,217,669.11/33,156.32
  6. Step 6: Final answer
    x = 20,153.56

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