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Finding the Fourth Proportional to 33,137.76, 49,699.18 and 9,444.82

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Solution

The fourth proportional to 33,137.76, 49,699.18 and 9,444.82 is: 14,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,137.76 : 49,699.18 = 9,444.82 : x
  2. Step 2: Convert to fraction form
    33,137.76/49,699.18 = 9,444.82/x
  3. Step 3: Cross multiply
    33,137.76x = 49,699.18 × 9,444.82
  4. Step 4: Simplify right side
    33,137.76x = 469,399,809.25
  5. Step 5: Solve for x
    x = 469,399,809.25/33,137.76
  6. Step 6: Final answer
    x = 14,165.10

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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.