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Finding the Fourth Proportional to 76,395.12, 105,426.38 and 42,405.78

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Solution

The fourth proportional to 76,395.12, 105,426.38 and 42,405.78 is: 58,520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,395.12 : 105,426.38 = 42,405.78 : x
  2. Step 2: Convert to fraction form
    76,395.12/105,426.38 = 42,405.78/x
  3. Step 3: Cross multiply
    76,395.12x = 105,426.38 × 42,405.78
  4. Step 4: Simplify right side
    76,395.12x = 4,470,687,876.48
  5. Step 5: Solve for x
    x = 4,470,687,876.48/76,395.12
  6. Step 6: Final answer
    x = 58,520.59

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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.