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Finding the Fourth Proportional to 34,731, 52,078.14 and 15,994.68

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Solution

The fourth proportional to 34,731, 52,078.14 and 15,994.68 is: 23,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,731 : 52,078.14 = 15,994.68 : x
  2. Step 2: Convert to fraction form
    34,731/52,078.14 = 15,994.68/x
  3. Step 3: Cross multiply
    34,731x = 52,078.14 × 15,994.68
  4. Step 4: Simplify right side
    34,731x = 832,973,184.30
  5. Step 5: Solve for x
    x = 832,973,184.30/34,731
  6. Step 6: Final answer
    x = 23,983.56

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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.