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Finding the Fourth Proportional to 76,966, 106,214.72 and 42,510.56

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Solution

The fourth proportional to 76,966, 106,214.72 and 42,510.56 is: 58,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,966 : 106,214.72 = 42,510.56 : x
  2. Step 2: Convert to fraction form
    76,966/106,214.72 = 42,510.56/x
  3. Step 3: Cross multiply
    76,966x = 106,214.72 × 42,510.56
  4. Step 4: Simplify right side
    76,966x = 4,515,247,227.44
  5. Step 5: Solve for x
    x = 4,515,247,227.44/76,966
  6. Step 6: Final answer
    x = 58,665.48

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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.