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Finding the Fourth Proportional to 76,882.39, 106,097.82 and 42,426.32

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Solution

The fourth proportional to 76,882.39, 106,097.82 and 42,426.32 is: 58,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,882.39 : 106,097.82 = 42,426.32 : x
  2. Step 2: Convert to fraction form
    76,882.39/106,097.82 = 42,426.32/x
  3. Step 3: Cross multiply
    76,882.39x = 106,097.82 × 42,426.32
  4. Step 4: Simplify right side
    76,882.39x = 4,501,339,532.13
  5. Step 5: Solve for x
    x = 4,501,339,532.13/76,882.39
  6. Step 6: Final answer
    x = 58,548.38

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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.