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Finding the Fourth Proportional to 55,078.68, 82,605.99 and 25,468.47

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Solution

The fourth proportional to 55,078.68, 82,605.99 and 25,468.47 is: 38,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,078.68 : 82,605.99 = 25,468.47 : x
  2. Step 2: Convert to fraction form
    55,078.68/82,605.99 = 25,468.47/x
  3. Step 3: Cross multiply
    55,078.68x = 82,605.99 × 25,468.47
  4. Step 4: Simplify right side
    55,078.68x = 2,103,848,178.14
  5. Step 5: Solve for x
    x = 2,103,848,178.14/55,078.68
  6. Step 6: Final answer
    x = 38,197.14

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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.