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Finding the Fourth Proportional to 95,178.78, 142,788.15 and 36,013.14

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Solution

The fourth proportional to 95,178.78, 142,788.15 and 36,013.14 is: 54,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,178.78 : 142,788.15 = 36,013.14 : x
  2. Step 2: Convert to fraction form
    95,178.78/142,788.15 = 36,013.14/x
  3. Step 3: Cross multiply
    95,178.78x = 142,788.15 × 36,013.14
  4. Step 4: Simplify right side
    95,178.78x = 5,142,249,636.29
  5. Step 5: Solve for x
    x = 5,142,249,636.29/95,178.78
  6. Step 6: Final answer
    x = 54,027.27

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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.