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Finding the Fourth Proportional to 37,782.60, 56,672.10 and 12,820.20

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Solution

The fourth proportional to 37,782.60, 56,672.10 and 12,820.20 is: 19,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782.60 : 56,672.10 = 12,820.20 : x
  2. Step 2: Convert to fraction form
    37,782.60/56,672.10 = 12,820.20/x
  3. Step 3: Cross multiply
    37,782.60x = 56,672.10 × 12,820.20
  4. Step 4: Simplify right side
    37,782.60x = 726,547,656.42
  5. Step 5: Solve for x
    x = 726,547,656.42/37,782.60
  6. Step 6: Final answer
    x = 19,229.69

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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.