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Finding the Fourth Proportional to 50,510.56, 75,931.92 and 46,856.90

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Solution

The fourth proportional to 50,510.56, 75,931.92 and 46,856.90 is: 70,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,510.56 : 75,931.92 = 46,856.90 : x
  2. Step 2: Convert to fraction form
    50,510.56/75,931.92 = 46,856.90/x
  3. Step 3: Cross multiply
    50,510.56x = 75,931.92 × 46,856.90
  4. Step 4: Simplify right side
    50,510.56x = 3,557,934,382.25
  5. Step 5: Solve for x
    x = 3,557,934,382.25/50,510.56
  6. Step 6: Final answer
    x = 70,439.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.