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Finding the Fourth Proportional to 95,967, 144,002.34 and 46,719

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Solution

The fourth proportional to 95,967, 144,002.34 and 46,719 is: 70,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,967 : 144,002.34 = 46,719 : x
  2. Step 2: Convert to fraction form
    95,967/144,002.34 = 46,719/x
  3. Step 3: Cross multiply
    95,967x = 144,002.34 × 46,719
  4. Step 4: Simplify right side
    95,967x = 6,727,645,322.46
  5. Step 5: Solve for x
    x = 6,727,645,322.46/95,967
  6. Step 6: Final answer
    x = 70,103.74

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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.