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Finding the Fourth Proportional to 37,271, 51,407.94 and 24,520.16

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Solution

The fourth proportional to 37,271, 51,407.94 and 24,520.16 is: 33,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,271 : 51,407.94 = 24,520.16 : x
  2. Step 2: Convert to fraction form
    37,271/51,407.94 = 24,520.16/x
  3. Step 3: Cross multiply
    37,271x = 51,407.94 × 24,520.16
  4. Step 4: Simplify right side
    37,271x = 1,260,530,914.07
  5. Step 5: Solve for x
    x = 1,260,530,914.07/37,271
  6. Step 6: Final answer
    x = 33,820.69

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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.