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Finding the Fourth Proportional to 115,917, 173,875.50 and 32,811

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Solution

The fourth proportional to 115,917, 173,875.50 and 32,811 is: 49,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,917 : 173,875.50 = 32,811 : x
  2. Step 2: Convert to fraction form
    115,917/173,875.50 = 32,811/x
  3. Step 3: Cross multiply
    115,917x = 173,875.50 × 32,811
  4. Step 4: Simplify right side
    115,917x = 5,705,029,030.50
  5. Step 5: Solve for x
    x = 5,705,029,030.50/115,917
  6. Step 6: Final answer
    x = 49,216.50

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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.