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Finding the Fourth Proportional to 57,657.36, 86,373.84 and 32,621.64

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Solution

The fourth proportional to 57,657.36, 86,373.84 and 32,621.64 is: 48,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,657.36 : 86,373.84 = 32,621.64 : x
  2. Step 2: Convert to fraction form
    57,657.36/86,373.84 = 32,621.64/x
  3. Step 3: Cross multiply
    57,657.36x = 86,373.84 × 32,621.64
  4. Step 4: Simplify right side
    57,657.36x = 2,817,656,313.90
  5. Step 5: Solve for x
    x = 2,817,656,313.90/57,657.36
  6. Step 6: Final answer
    x = 48,868.98

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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.