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Finding the Fourth Proportional to 37,428.58, 51,652.38 and 21,295

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Solution

The fourth proportional to 37,428.58, 51,652.38 and 21,295 is: 29,387.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,428.58 : 51,652.38 = 21,295 : x
  2. Step 2: Convert to fraction form
    37,428.58/51,652.38 = 21,295/x
  3. Step 3: Cross multiply
    37,428.58x = 51,652.38 × 21,295
  4. Step 4: Simplify right side
    37,428.58x = 1,099,937,432.10
  5. Step 5: Solve for x
    x = 1,099,937,432.10/37,428.58
  6. Step 6: Final answer
    x = 29,387.63

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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.