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Finding the Fourth Proportional to 33,108.40, 49,657.80 and 9,732.40

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Solution

The fourth proportional to 33,108.40, 49,657.80 and 9,732.40 is: 14,597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,108.40 : 49,657.80 = 9,732.40 : x
  2. Step 2: Convert to fraction form
    33,108.40/49,657.80 = 9,732.40/x
  3. Step 3: Cross multiply
    33,108.40x = 49,657.80 × 9,732.40
  4. Step 4: Simplify right side
    33,108.40x = 483,289,572.72
  5. Step 5: Solve for x
    x = 483,289,572.72/33,108.40
  6. Step 6: Final answer
    x = 14,597.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.