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Finding the Fourth Proportional to 77,926.26, 107,538.26 and 42,116.27

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Solution

The fourth proportional to 77,926.26, 107,538.26 and 42,116.27 is: 58,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,926.26 : 107,538.26 = 42,116.27 : x
  2. Step 2: Convert to fraction form
    77,926.26/107,538.26 = 42,116.27/x
  3. Step 3: Cross multiply
    77,926.26x = 107,538.26 × 42,116.27
  4. Step 4: Simplify right side
    77,926.26x = 4,529,110,182.91
  5. Step 5: Solve for x
    x = 4,529,110,182.91/77,926.26
  6. Step 6: Final answer
    x = 58,120.47

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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.