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Finding the Fourth Proportional to 95,778, 143,667 and 30,114

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Solution

The fourth proportional to 95,778, 143,667 and 30,114 is: 45,171

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,778 : 143,667 = 30,114 : x
  2. Step 2: Convert to fraction form
    95,778/143,667 = 30,114/x
  3. Step 3: Cross multiply
    95,778x = 143,667 × 30,114
  4. Step 4: Simplify right side
    95,778x = 4,326,388,038
  5. Step 5: Solve for x
    x = 4,326,388,038/95,778
  6. Step 6: Final answer
    x = 45,171

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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.