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Finding the Fourth Proportional to 103,658.16, 155,392.20 and 37,082.64

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Solution

The fourth proportional to 103,658.16, 155,392.20 and 37,082.64 is: 55,589.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658.16 : 155,392.20 = 37,082.64 : x
  2. Step 2: Convert to fraction form
    103,658.16/155,392.20 = 37,082.64/x
  3. Step 3: Cross multiply
    103,658.16x = 155,392.20 × 37,082.64
  4. Step 4: Simplify right side
    103,658.16x = 5,762,353,011.41
  5. Step 5: Solve for x
    x = 5,762,353,011.41/103,658.16
  6. Step 6: Final answer
    x = 55,589.96

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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.