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Finding the Fourth Proportional to 37,298, 51,472.06 and 20,531

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Solution

The fourth proportional to 37,298, 51,472.06 and 20,531 is: 28,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,298 : 51,472.06 = 20,531 : x
  2. Step 2: Convert to fraction form
    37,298/51,472.06 = 20,531/x
  3. Step 3: Cross multiply
    37,298x = 51,472.06 × 20,531
  4. Step 4: Simplify right side
    37,298x = 1,056,772,863.86
  5. Step 5: Solve for x
    x = 1,056,772,863.86/37,298
  6. Step 6: Final answer
    x = 28,333.23

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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.