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Finding the Fourth Proportional to 55,995.82, 83,992.67 and 13,876.00

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Solution

The fourth proportional to 55,995.82, 83,992.67 and 13,876.00 is: 20,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,995.82 : 83,992.67 = 13,876.00 : x
  2. Step 2: Convert to fraction form
    55,995.82/83,992.67 = 13,876.00/x
  3. Step 3: Cross multiply
    55,995.82x = 83,992.67 × 13,876.00
  4. Step 4: Simplify right side
    55,995.82x = 1,165,482,113.63
  5. Step 5: Solve for x
    x = 1,165,482,113.63/55,995.82
  6. Step 6: Final answer
    x = 20,813.74

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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.