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Finding the Fourth Proportional to 37,551, 51,820.38 and 20,784

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Solution

The fourth proportional to 37,551, 51,820.38 and 20,784 is: 28,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,551 : 51,820.38 = 20,784 : x
  2. Step 2: Convert to fraction form
    37,551/51,820.38 = 20,784/x
  3. Step 3: Cross multiply
    37,551x = 51,820.38 × 20,784
  4. Step 4: Simplify right side
    37,551x = 1,077,034,777.92
  5. Step 5: Solve for x
    x = 1,077,034,777.92/37,551
  6. Step 6: Final answer
    x = 28,681.92

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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.