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Finding the Fourth Proportional to 57,163, 78,836.22 and 45,205.56

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Solution

The fourth proportional to 57,163, 78,836.22 and 45,205.56 is: 62,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,163 : 78,836.22 = 45,205.56 : x
  2. Step 2: Convert to fraction form
    57,163/78,836.22 = 45,205.56/x
  3. Step 3: Cross multiply
    57,163x = 78,836.22 × 45,205.56
  4. Step 4: Simplify right side
    57,163x = 3,563,835,473.38
  5. Step 5: Solve for x
    x = 3,563,835,473.38/57,163
  6. Step 6: Final answer
    x = 62,345.14

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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.