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Finding the Fourth Proportional to 41,088.96, 56,643.84 and 27,636.48

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Solution

The fourth proportional to 41,088.96, 56,643.84 and 27,636.48 is: 38,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,088.96 : 56,643.84 = 27,636.48 : x
  2. Step 2: Convert to fraction form
    41,088.96/56,643.84 = 27,636.48/x
  3. Step 3: Cross multiply
    41,088.96x = 56,643.84 × 27,636.48
  4. Step 4: Simplify right side
    41,088.96x = 1,565,436,351.28
  5. Step 5: Solve for x
    x = 1,565,436,351.28/41,088.96
  6. Step 6: Final answer
    x = 38,098.71

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Why These Related Problems?

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