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Finding the Fourth Proportional to 36,117.10, 49,841.72 and 20,200.51

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Solution

The fourth proportional to 36,117.10, 49,841.72 and 20,200.51 is: 27,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,117.10 : 49,841.72 = 20,200.51 : x
  2. Step 2: Convert to fraction form
    36,117.10/49,841.72 = 20,200.51/x
  3. Step 3: Cross multiply
    36,117.10x = 49,841.72 × 20,200.51
  4. Step 4: Simplify right side
    36,117.10x = 1,006,828,163.28
  5. Step 5: Solve for x
    x = 1,006,828,163.28/36,117.10
  6. Step 6: Final answer
    x = 27,876.77

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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.