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Finding the Fourth Proportional to 53,783.22, 74,224.44 and 29,914.14

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Solution

The fourth proportional to 53,783.22, 74,224.44 and 29,914.14 is: 41,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,783.22 : 74,224.44 = 29,914.14 : x
  2. Step 2: Convert to fraction form
    53,783.22/74,224.44 = 29,914.14/x
  3. Step 3: Cross multiply
    53,783.22x = 74,224.44 × 29,914.14
  4. Step 4: Simplify right side
    53,783.22x = 2,220,360,289.58
  5. Step 5: Solve for x
    x = 2,220,360,289.58/53,783.22
  6. Step 6: Final answer
    x = 41,283.51

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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.