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Finding the Fourth Proportional to 32,924.66, 49,395.09 and 9,550.76

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Solution

The fourth proportional to 32,924.66, 49,395.09 and 9,550.76 is: 14,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924.66 : 49,395.09 = 9,550.76 : x
  2. Step 2: Convert to fraction form
    32,924.66/49,395.09 = 9,550.76/x
  3. Step 3: Cross multiply
    32,924.66x = 49,395.09 × 9,550.76
  4. Step 4: Simplify right side
    32,924.66x = 471,760,649.77
  5. Step 5: Solve for x
    x = 471,760,649.77/32,924.66
  6. Step 6: Final answer
    x = 14,328.49

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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.