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Finding the Fourth Proportional to 78,012.36, 107,656.62 and 42,202.26

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Solution

The fourth proportional to 78,012.36, 107,656.62 and 42,202.26 is: 58,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,012.36 : 107,656.62 = 42,202.26 : x
  2. Step 2: Convert to fraction form
    78,012.36/107,656.62 = 42,202.26/x
  3. Step 3: Cross multiply
    78,012.36x = 107,656.62 × 42,202.26
  4. Step 4: Simplify right side
    78,012.36x = 4,543,352,667.96
  5. Step 5: Solve for x
    x = 4,543,352,667.96/78,012.36
  6. Step 6: Final answer
    x = 58,238.88

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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.