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Finding the Fourth Proportional to 37,101, 55,651.50 and 12,477

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Solution

The fourth proportional to 37,101, 55,651.50 and 12,477 is: 18,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,101 : 55,651.50 = 12,477 : x
  2. Step 2: Convert to fraction form
    37,101/55,651.50 = 12,477/x
  3. Step 3: Cross multiply
    37,101x = 55,651.50 × 12,477
  4. Step 4: Simplify right side
    37,101x = 694,363,765.50
  5. Step 5: Solve for x
    x = 694,363,765.50/37,101
  6. Step 6: Final answer
    x = 18,715.50

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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.