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Finding the Fourth Proportional to 53,622.16, 73,972.92 and 32,097.22

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Solution

The fourth proportional to 53,622.16, 73,972.92 and 32,097.22 is: 44,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,622.16 : 73,972.92 = 32,097.22 : x
  2. Step 2: Convert to fraction form
    53,622.16/73,972.92 = 32,097.22/x
  3. Step 3: Cross multiply
    53,622.16x = 73,972.92 × 32,097.22
  4. Step 4: Simplify right side
    53,622.16x = 2,374,325,087.28
  5. Step 5: Solve for x
    x = 2,374,325,087.28/53,622.16
  6. Step 6: Final answer
    x = 44,278.80

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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.