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Finding the Fourth Proportional to 37,213.60, 55,829.40 and 10,919.20

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Solution

The fourth proportional to 37,213.60, 55,829.40 and 10,919.20 is: 16,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,213.60 : 55,829.40 = 10,919.20 : x
  2. Step 2: Convert to fraction form
    37,213.60/55,829.40 = 10,919.20/x
  3. Step 3: Cross multiply
    37,213.60x = 55,829.40 × 10,919.20
  4. Step 4: Simplify right side
    37,213.60x = 609,612,384.48
  5. Step 5: Solve for x
    x = 609,612,384.48/37,213.60
  6. Step 6: Final answer
    x = 16,381.44

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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.