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Finding the Fourth Proportional to 57,099.44, 85,685.72 and 30,822.48

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Solution

The fourth proportional to 57,099.44, 85,685.72 and 30,822.48 is: 46,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,099.44 : 85,685.72 = 30,822.48 : x
  2. Step 2: Convert to fraction form
    57,099.44/85,685.72 = 30,822.48/x
  3. Step 3: Cross multiply
    57,099.44x = 85,685.72 × 30,822.48
  4. Step 4: Simplify right side
    57,099.44x = 2,641,046,390.99
  5. Step 5: Solve for x
    x = 2,641,046,390.99/57,099.44
  6. Step 6: Final answer
    x = 46,253.46

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1.5x scale

Why These Related Problems?

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