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Finding the Fourth Proportional to 57,740.54, 86,639.54 and 32,424.35

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Solution

The fourth proportional to 57,740.54, 86,639.54 and 32,424.35 is: 48,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,740.54 : 86,639.54 = 32,424.35 : x
  2. Step 2: Convert to fraction form
    57,740.54/86,639.54 = 32,424.35/x
  3. Step 3: Cross multiply
    57,740.54x = 86,639.54 × 32,424.35
  4. Step 4: Simplify right side
    57,740.54x = 2,809,230,173.48
  5. Step 5: Solve for x
    x = 2,809,230,173.48/57,740.54
  6. Step 6: Final answer
    x = 48,652.65

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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.