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Finding the Fourth Proportional to 35,824.78, 53,737.17 and 16,099.66

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Solution

The fourth proportional to 35,824.78, 53,737.17 and 16,099.66 is: 24,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,824.78 : 53,737.17 = 16,099.66 : x
  2. Step 2: Convert to fraction form
    35,824.78/53,737.17 = 16,099.66/x
  3. Step 3: Cross multiply
    35,824.78x = 53,737.17 × 16,099.66
  4. Step 4: Simplify right side
    35,824.78x = 865,150,166.36
  5. Step 5: Solve for x
    x = 865,150,166.36/35,824.78
  6. Step 6: Final answer
    x = 24,149.49

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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.