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Finding the Fourth Proportional to 37,115.50, 51,219.58 and 22,211.50

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Solution

The fourth proportional to 37,115.50, 51,219.58 and 22,211.50 is: 30,651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,115.50 : 51,219.58 = 22,211.50 : x
  2. Step 2: Convert to fraction form
    37,115.50/51,219.58 = 22,211.50/x
  3. Step 3: Cross multiply
    37,115.50x = 51,219.58 × 22,211.50
  4. Step 4: Simplify right side
    37,115.50x = 1,137,663,701.17
  5. Step 5: Solve for x
    x = 1,137,663,701.17/37,115.50
  6. Step 6: Final answer
    x = 30,651.98

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1.5x scale

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.