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Finding the Fourth Proportional to 64,633.57, 89,165.17 and 37,764

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Solution

The fourth proportional to 64,633.57, 89,165.17 and 37,764 is: 52,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,633.57 : 89,165.17 = 37,764 : x
  2. Step 2: Convert to fraction form
    64,633.57/89,165.17 = 37,764/x
  3. Step 3: Cross multiply
    64,633.57x = 89,165.17 × 37,764
  4. Step 4: Simplify right side
    64,633.57x = 3,367,233,479.88
  5. Step 5: Solve for x
    x = 3,367,233,479.88/64,633.57
  6. Step 6: Final answer
    x = 52,097.28

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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.