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Finding the Fourth Proportional to 77,972.80, 107,602.38 and 42,162.73

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Solution

The fourth proportional to 77,972.80, 107,602.38 and 42,162.73 is: 58,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,972.80 : 107,602.38 = 42,162.73 : x
  2. Step 2: Convert to fraction form
    77,972.80/107,602.38 = 42,162.73/x
  3. Step 3: Cross multiply
    77,972.80x = 107,602.38 × 42,162.73
  4. Step 4: Simplify right side
    77,972.80x = 4,536,810,095.30
  5. Step 5: Solve for x
    x = 4,536,810,095.30/77,972.80
  6. Step 6: Final answer
    x = 58,184.52

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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.