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Finding the Fourth Proportional to 73,035, 109,552.50 and 17,631

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Solution

The fourth proportional to 73,035, 109,552.50 and 17,631 is: 26,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,035 : 109,552.50 = 17,631 : x
  2. Step 2: Convert to fraction form
    73,035/109,552.50 = 17,631/x
  3. Step 3: Cross multiply
    73,035x = 109,552.50 × 17,631
  4. Step 4: Simplify right side
    73,035x = 1,931,520,127.50
  5. Step 5: Solve for x
    x = 1,931,520,127.50/73,035
  6. Step 6: Final answer
    x = 26,446.50

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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.