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Finding the Fourth Proportional to 38,097.57, 52,577.91 and 22,183.50

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Solution

The fourth proportional to 38,097.57, 52,577.91 and 22,183.50 is: 30,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097.57 : 52,577.91 = 22,183.50 : x
  2. Step 2: Convert to fraction form
    38,097.57/52,577.91 = 22,183.50/x
  3. Step 3: Cross multiply
    38,097.57x = 52,577.91 × 22,183.50
  4. Step 4: Simplify right side
    38,097.57x = 1,166,362,066.49
  5. Step 5: Solve for x
    x = 1,166,362,066.49/38,097.57
  6. Step 6: Final answer
    x = 30,615.13

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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.