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Finding the Fourth Proportional to 37,200.64, 51,301.74 and 24,431.32

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Solution

The fourth proportional to 37,200.64, 51,301.74 and 24,431.32 is: 33,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,200.64 : 51,301.74 = 24,431.32 : x
  2. Step 2: Convert to fraction form
    37,200.64/51,301.74 = 24,431.32/x
  3. Step 3: Cross multiply
    37,200.64x = 51,301.74 × 24,431.32
  4. Step 4: Simplify right side
    37,200.64x = 1,253,369,226.50
  5. Step 5: Solve for x
    x = 1,253,369,226.50/37,200.64
  6. Step 6: Final answer
    x = 33,692.14

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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.