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Finding the Fourth Proportional to 57,658.76, 79,566 and 32,506.64

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Solution

The fourth proportional to 57,658.76, 79,566 and 32,506.64 is: 44,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,658.76 : 79,566 = 32,506.64 : x
  2. Step 2: Convert to fraction form
    57,658.76/79,566 = 32,506.64/x
  3. Step 3: Cross multiply
    57,658.76x = 79,566 × 32,506.64
  4. Step 4: Simplify right side
    57,658.76x = 2,586,423,318.24
  5. Step 5: Solve for x
    x = 2,586,423,318.24/57,658.76
  6. Step 6: Final answer
    x = 44,857.42

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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.