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Finding the Fourth Proportional to 54,807.91, 82,206.50 and 37,152

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Solution

The fourth proportional to 54,807.91, 82,206.50 and 37,152 is: 55,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,807.91 : 82,206.50 = 37,152 : x
  2. Step 2: Convert to fraction form
    54,807.91/82,206.50 = 37,152/x
  3. Step 3: Cross multiply
    54,807.91x = 82,206.50 × 37,152
  4. Step 4: Simplify right side
    54,807.91x = 3,054,135,702.24
  5. Step 5: Solve for x
    x = 3,054,135,702.24/54,807.91
  6. Step 6: Final answer
    x = 55,724.36

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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.