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Finding the Fourth Proportional to 95,975, 144,014.34 and 46,727

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Solution

The fourth proportional to 95,975, 144,014.34 and 46,727 is: 70,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,975 : 144,014.34 = 46,727 : x
  2. Step 2: Convert to fraction form
    95,975/144,014.34 = 46,727/x
  3. Step 3: Cross multiply
    95,975x = 144,014.34 × 46,727
  4. Step 4: Simplify right side
    95,975x = 6,729,358,065.18
  5. Step 5: Solve for x
    x = 6,729,358,065.18/95,975
  6. Step 6: Final answer
    x = 70,115.74

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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.