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Finding the Fourth Proportional to 55,257.92, 82,828.16 and 37,684.16

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Solution

The fourth proportional to 55,257.92, 82,828.16 and 37,684.16 is: 56,486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,257.92 : 82,828.16 = 37,684.16 : x
  2. Step 2: Convert to fraction form
    55,257.92/82,828.16 = 37,684.16/x
  3. Step 3: Cross multiply
    55,257.92x = 82,828.16 × 37,684.16
  4. Step 4: Simplify right side
    55,257.92x = 3,121,309,633.95
  5. Step 5: Solve for x
    x = 3,121,309,633.95/55,257.92
  6. Step 6: Final answer
    x = 56,486.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.