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Finding the Fourth Proportional to 35,733.84, 53,601.57 and 13,557.66

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Solution

The fourth proportional to 35,733.84, 53,601.57 and 13,557.66 is: 20,336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,733.84 : 53,601.57 = 13,557.66 : x
  2. Step 2: Convert to fraction form
    35,733.84/53,601.57 = 13,557.66/x
  3. Step 3: Cross multiply
    35,733.84x = 53,601.57 × 13,557.66
  4. Step 4: Simplify right side
    35,733.84x = 726,711,861.53
  5. Step 5: Solve for x
    x = 726,711,861.53/35,733.84
  6. Step 6: Final answer
    x = 20,336.80

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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.