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Finding the Fourth Proportional to 113,019, 169,558.74 and 39,147

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Solution

The fourth proportional to 113,019, 169,558.74 and 39,147 is: 58,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,019 : 169,558.74 = 39,147 : x
  2. Step 2: Convert to fraction form
    113,019/169,558.74 = 39,147/x
  3. Step 3: Cross multiply
    113,019x = 169,558.74 × 39,147
  4. Step 4: Simplify right side
    113,019x = 6,637,715,994.78
  5. Step 5: Solve for x
    x = 6,637,715,994.78/113,019
  6. Step 6: Final answer
    x = 58,730.97

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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.