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Finding the Fourth Proportional to 33,176.20, 49,764.30 and 9,802.30

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Solution

The fourth proportional to 33,176.20, 49,764.30 and 9,802.30 is: 14,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,176.20 : 49,764.30 = 9,802.30 : x
  2. Step 2: Convert to fraction form
    33,176.20/49,764.30 = 9,802.30/x
  3. Step 3: Cross multiply
    33,176.20x = 49,764.30 × 9,802.30
  4. Step 4: Simplify right side
    33,176.20x = 487,804,597.89
  5. Step 5: Solve for x
    x = 487,804,597.89/33,176.20
  6. Step 6: Final answer
    x = 14,703.45

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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.