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Finding the Fourth Proportional to 57,696.40, 79,621.62 and 32,205.16

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Solution

The fourth proportional to 57,696.40, 79,621.62 and 32,205.16 is: 44,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,696.40 : 79,621.62 = 32,205.16 : x
  2. Step 2: Convert to fraction form
    57,696.40/79,621.62 = 32,205.16/x
  3. Step 3: Cross multiply
    57,696.40x = 79,621.62 × 32,205.16
  4. Step 4: Simplify right side
    57,696.40x = 2,564,227,011.56
  5. Step 5: Solve for x
    x = 2,564,227,011.56/57,696.40
  6. Step 6: Final answer
    x = 44,443.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.