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Finding the Fourth Proportional to 85,970.66, 128,964.18 and 33,384.24

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Solution

The fourth proportional to 85,970.66, 128,964.18 and 33,384.24 is: 50,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,970.66 : 128,964.18 = 33,384.24 : x
  2. Step 2: Convert to fraction form
    85,970.66/128,964.18 = 33,384.24/x
  3. Step 3: Cross multiply
    85,970.66x = 128,964.18 × 33,384.24
  4. Step 4: Simplify right side
    85,970.66x = 4,305,371,136.52
  5. Step 5: Solve for x
    x = 4,305,371,136.52/85,970.66
  6. Step 6: Final answer
    x = 50,079.54

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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.