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Finding the Fourth Proportional to 32,586.24, 48,867.20 and 12,858.24

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Solution

The fourth proportional to 32,586.24, 48,867.20 and 12,858.24 is: 19,282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,586.24 : 48,867.20 = 12,858.24 : x
  2. Step 2: Convert to fraction form
    32,586.24/48,867.20 = 12,858.24/x
  3. Step 3: Cross multiply
    32,586.24x = 48,867.20 × 12,858.24
  4. Step 4: Simplify right side
    32,586.24x = 628,346,185.73
  5. Step 5: Solve for x
    x = 628,346,185.73/32,586.24
  6. Step 6: Final answer
    x = 19,282.56

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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.