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Finding the Fourth Proportional to 76,302.95, 105,285.24 and 50,847.32

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Solution

The fourth proportional to 76,302.95, 105,285.24 and 50,847.32 is: 70,160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,302.95 : 105,285.24 = 50,847.32 : x
  2. Step 2: Convert to fraction form
    76,302.95/105,285.24 = 50,847.32/x
  3. Step 3: Cross multiply
    76,302.95x = 105,285.24 × 50,847.32
  4. Step 4: Simplify right side
    76,302.95x = 5,353,472,289.56
  5. Step 5: Solve for x
    x = 5,353,472,289.56/76,302.95
  6. Step 6: Final answer
    x = 70,160.75

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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.