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Finding the Fourth Proportional to 32,924.25, 49,374.69 and 11,858.64

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Solution

The fourth proportional to 32,924.25, 49,374.69 and 11,858.64 is: 17,783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924.25 : 49,374.69 = 11,858.64 : x
  2. Step 2: Convert to fraction form
    32,924.25/49,374.69 = 11,858.64/x
  3. Step 3: Cross multiply
    32,924.25x = 49,374.69 × 11,858.64
  4. Step 4: Simplify right side
    32,924.25x = 585,516,673.82
  5. Step 5: Solve for x
    x = 585,516,673.82/32,924.25
  6. Step 6: Final answer
    x = 17,783.75

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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.