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Finding the Fourth Proportional to 32,410.80, 48,577.80 and 13,690.80

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Solution

The fourth proportional to 32,410.80, 48,577.80 and 13,690.80 is: 20,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.80 : 48,577.80 = 13,690.80 : x
  2. Step 2: Convert to fraction form
    32,410.80/48,577.80 = 13,690.80/x
  3. Step 3: Cross multiply
    32,410.80x = 48,577.80 × 13,690.80
  4. Step 4: Simplify right side
    32,410.80x = 665,068,944.24
  5. Step 5: Solve for x
    x = 665,068,944.24/32,410.80
  6. Step 6: Final answer
    x = 20,519.98

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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.