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Finding the Fourth Proportional to 37,823.60, 52,192.04 and 21,905.84

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Solution

The fourth proportional to 37,823.60, 52,192.04 and 21,905.84 is: 30,227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,823.60 : 52,192.04 = 21,905.84 : x
  2. Step 2: Convert to fraction form
    37,823.60/52,192.04 = 21,905.84/x
  3. Step 3: Cross multiply
    37,823.60x = 52,192.04 × 21,905.84
  4. Step 4: Simplify right side
    37,823.60x = 1,143,310,477.51
  5. Step 5: Solve for x
    x = 1,143,310,477.51/37,823.60
  6. Step 6: Final answer
    x = 30,227.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.