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Finding the Fourth Proportional to 57,753.14, 79,700.64 and 33,897.02

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Solution

The fourth proportional to 57,753.14, 79,700.64 and 33,897.02 is: 46,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,753.14 : 79,700.64 = 33,897.02 : x
  2. Step 2: Convert to fraction form
    57,753.14/79,700.64 = 33,897.02/x
  3. Step 3: Cross multiply
    57,753.14x = 79,700.64 × 33,897.02
  4. Step 4: Simplify right side
    57,753.14x = 2,701,614,188.09
  5. Step 5: Solve for x
    x = 2,701,614,188.09/57,753.14
  6. Step 6: Final answer
    x = 46,778.65

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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.