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Finding the Fourth Proportional to 37,342, 51,532.12 and 20,574.64

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Solution

The fourth proportional to 37,342, 51,532.12 and 20,574.64 is: 28,393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,342 : 51,532.12 = 20,574.64 : x
  2. Step 2: Convert to fraction form
    37,342/51,532.12 = 20,574.64/x
  3. Step 3: Cross multiply
    37,342x = 51,532.12 × 20,574.64
  4. Step 4: Simplify right side
    37,342x = 1,060,254,817.44
  5. Step 5: Solve for x
    x = 1,060,254,817.44/37,342
  6. Step 6: Final answer
    x = 28,393.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.