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Finding the Fourth Proportional to 71,184.32, 106,841.16 and 37,932.80

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Solution

The fourth proportional to 71,184.32, 106,841.16 and 37,932.80 is: 56,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,184.32 : 106,841.16 = 37,932.80 : x
  2. Step 2: Convert to fraction form
    71,184.32/106,841.16 = 37,932.80/x
  3. Step 3: Cross multiply
    71,184.32x = 106,841.16 × 37,932.80
  4. Step 4: Simplify right side
    71,184.32x = 4,052,784,354.05
  5. Step 5: Solve for x
    x = 4,052,784,354.05/71,184.32
  6. Step 6: Final answer
    x = 56,933.67

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1.5x scale

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.