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Finding the Fourth Proportional to 76,462.13, 105,517.74 and 42,928.13

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Solution

The fourth proportional to 76,462.13, 105,517.74 and 42,928.13 is: 59,240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,462.13 : 105,517.74 = 42,928.13 : x
  2. Step 2: Convert to fraction form
    76,462.13/105,517.74 = 42,928.13/x
  3. Step 3: Cross multiply
    76,462.13x = 105,517.74 × 42,928.13
  4. Step 4: Simplify right side
    76,462.13x = 4,529,679,260.03
  5. Step 5: Solve for x
    x = 4,529,679,260.03/76,462.13
  6. Step 6: Final answer
    x = 59,240.82

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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.