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Finding the Fourth Proportional to 95,411.92, 143,139.10 and 31,372.96

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Solution

The fourth proportional to 95,411.92, 143,139.10 and 31,372.96 is: 47,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,411.92 : 143,139.10 = 31,372.96 : x
  2. Step 2: Convert to fraction form
    95,411.92/143,139.10 = 31,372.96/x
  3. Step 3: Cross multiply
    95,411.92x = 143,139.10 × 31,372.96
  4. Step 4: Simplify right side
    95,411.92x = 4,490,697,258.74
  5. Step 5: Solve for x
    x = 4,490,697,258.74/95,411.92
  6. Step 6: Final answer
    x = 47,066.42

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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.