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Finding the Fourth Proportional to 76,601.38, 105,716.29 and 42,616.27

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Solution

The fourth proportional to 76,601.38, 105,716.29 and 42,616.27 is: 58,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,601.38 : 105,716.29 = 42,616.27 : x
  2. Step 2: Convert to fraction form
    76,601.38/105,716.29 = 42,616.27/x
  3. Step 3: Cross multiply
    76,601.38x = 105,716.29 × 42,616.27
  4. Step 4: Simplify right side
    76,601.38x = 4,505,233,587.21
  5. Step 5: Solve for x
    x = 4,505,233,587.21/76,601.38
  6. Step 6: Final answer
    x = 58,814.00

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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.