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Finding the Fourth Proportional to 78,011.90, 107,656.09 and 42,201.82

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Solution

The fourth proportional to 78,011.90, 107,656.09 and 42,201.82 is: 58,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,011.90 : 107,656.09 = 42,201.82 : x
  2. Step 2: Convert to fraction form
    78,011.90/107,656.09 = 42,201.82/x
  3. Step 3: Cross multiply
    78,011.90x = 107,656.09 × 42,201.82
  4. Step 4: Simplify right side
    78,011.90x = 4,543,282,182.79
  5. Step 5: Solve for x
    x = 4,543,282,182.79/78,011.90
  6. Step 6: Final answer
    x = 58,238.33

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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.