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Finding the Fourth Proportional to 102,871.70, 154,307.55 and 36,311.30

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Solution

The fourth proportional to 102,871.70, 154,307.55 and 36,311.30 is: 54,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,871.70 : 154,307.55 = 36,311.30 : x
  2. Step 2: Convert to fraction form
    102,871.70/154,307.55 = 36,311.30/x
  3. Step 3: Cross multiply
    102,871.70x = 154,307.55 × 36,311.30
  4. Step 4: Simplify right side
    102,871.70x = 5,603,107,740.32
  5. Step 5: Solve for x
    x = 5,603,107,740.32/102,871.70
  6. Step 6: Final answer
    x = 54,466.95

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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.