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Finding the Fourth Proportional to 35,533.44, 49,039.36 and 21,384

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Solution

The fourth proportional to 35,533.44, 49,039.36 and 21,384 is: 29,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,533.44 : 49,039.36 = 21,384 : x
  2. Step 2: Convert to fraction form
    35,533.44/49,039.36 = 21,384/x
  3. Step 3: Cross multiply
    35,533.44x = 49,039.36 × 21,384
  4. Step 4: Simplify right side
    35,533.44x = 1,048,657,674.24
  5. Step 5: Solve for x
    x = 1,048,657,674.24/35,533.44
  6. Step 6: Final answer
    x = 29,511.85

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