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Finding the Fourth Proportional to 57,754.28, 79,702.20 and 33,898.16

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Solution

The fourth proportional to 57,754.28, 79,702.20 and 33,898.16 is: 46,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,754.28 : 79,702.20 = 33,898.16 : x
  2. Step 2: Convert to fraction form
    57,754.28/79,702.20 = 33,898.16/x
  3. Step 3: Cross multiply
    57,754.28x = 79,702.20 × 33,898.16
  4. Step 4: Simplify right side
    57,754.28x = 2,701,757,927.95
  5. Step 5: Solve for x
    x = 2,701,757,927.95/57,754.28
  6. Step 6: Final answer
    x = 46,780.22

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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.