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Finding the Fourth Proportional to 78,349.09, 108,121.12 and 42,538.38

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Solution

The fourth proportional to 78,349.09, 108,121.12 and 42,538.38 is: 58,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,349.09 : 108,121.12 = 42,538.38 : x
  2. Step 2: Convert to fraction form
    78,349.09/108,121.12 = 42,538.38/x
  3. Step 3: Cross multiply
    78,349.09x = 108,121.12 × 42,538.38
  4. Step 4: Simplify right side
    78,349.09x = 4,599,297,288.59
  5. Step 5: Solve for x
    x = 4,599,297,288.59/78,349.09
  6. Step 6: Final answer
    x = 58,702.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.