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Finding the Fourth Proportional to 55,252.46, 82,878.66 and 13,699.46

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Solution

The fourth proportional to 55,252.46, 82,878.66 and 13,699.46 is: 20,549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,252.46 : 82,878.66 = 13,699.46 : x
  2. Step 2: Convert to fraction form
    55,252.46/82,878.66 = 13,699.46/x
  3. Step 3: Cross multiply
    55,252.46x = 82,878.66 × 13,699.46
  4. Step 4: Simplify right side
    55,252.46x = 1,135,392,887.52
  5. Step 5: Solve for x
    x = 1,135,392,887.52/55,252.46
  6. Step 6: Final answer
    x = 20,549.18

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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.