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Finding the Fourth Proportional to 33,173.76, 49,767.84 and 9,802.08

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Solution

The fourth proportional to 33,173.76, 49,767.84 and 9,802.08 is: 14,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,173.76 : 49,767.84 = 9,802.08 : x
  2. Step 2: Convert to fraction form
    33,173.76/49,767.84 = 9,802.08/x
  3. Step 3: Cross multiply
    33,173.76x = 49,767.84 × 9,802.08
  4. Step 4: Simplify right side
    33,173.76x = 487,828,349.11
  5. Step 5: Solve for x
    x = 487,828,349.11/33,173.76
  6. Step 6: Final answer
    x = 14,705.25

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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.