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Finding the Fourth Proportional to 39,428.99, 54,403.86 and 22,658.75

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Solution

The fourth proportional to 39,428.99, 54,403.86 and 22,658.75 is: 31,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,428.99 : 54,403.86 = 22,658.75 : x
  2. Step 2: Convert to fraction form
    39,428.99/54,403.86 = 22,658.75/x
  3. Step 3: Cross multiply
    39,428.99x = 54,403.86 × 22,658.75
  4. Step 4: Simplify right side
    39,428.99x = 1,232,723,462.78
  5. Step 5: Solve for x
    x = 1,232,723,462.78/39,428.99
  6. Step 6: Final answer
    x = 31,264.39

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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.