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Finding the Fourth Proportional to 37,431.30, 51,652.98 and 20,432.16

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Solution

The fourth proportional to 37,431.30, 51,652.98 and 20,432.16 is: 28,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,431.30 : 51,652.98 = 20,432.16 : x
  2. Step 2: Convert to fraction form
    37,431.30/51,652.98 = 20,432.16/x
  3. Step 3: Cross multiply
    37,431.30x = 51,652.98 × 20,432.16
  4. Step 4: Simplify right side
    37,431.30x = 1,055,381,951.84
  5. Step 5: Solve for x
    x = 1,055,381,951.84/37,431.30
  6. Step 6: Final answer
    x = 28,195.17

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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.