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Finding the Fourth Proportional to 57,765.16, 86,450.60 and 48,415.74

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Solution

The fourth proportional to 57,765.16, 86,450.60 and 48,415.74 is: 72,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,765.16 : 86,450.60 = 48,415.74 : x
  2. Step 2: Convert to fraction form
    57,765.16/86,450.60 = 48,415.74/x
  3. Step 3: Cross multiply
    57,765.16x = 86,450.60 × 48,415.74
  4. Step 4: Simplify right side
    57,765.16x = 4,185,569,772.44
  5. Step 5: Solve for x
    x = 4,185,569,772.44/57,765.16
  6. Step 6: Final answer
    x = 72,458.38

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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.