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Finding the Fourth Proportional to 98,367, 147,550.50 and 32,703

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Solution

The fourth proportional to 98,367, 147,550.50 and 32,703 is: 49,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,367 : 147,550.50 = 32,703 : x
  2. Step 2: Convert to fraction form
    98,367/147,550.50 = 32,703/x
  3. Step 3: Cross multiply
    98,367x = 147,550.50 × 32,703
  4. Step 4: Simplify right side
    98,367x = 4,825,344,001.50
  5. Step 5: Solve for x
    x = 4,825,344,001.50/98,367
  6. Step 6: Final answer
    x = 49,054.50

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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.