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Finding the Fourth Proportional to 32,586.24, 48,873.60 and 9,206.40

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Solution

The fourth proportional to 32,586.24, 48,873.60 and 9,206.40 is: 13,807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,586.24 : 48,873.60 = 9,206.40 : x
  2. Step 2: Convert to fraction form
    32,586.24/48,873.60 = 9,206.40/x
  3. Step 3: Cross multiply
    32,586.24x = 48,873.60 × 9,206.40
  4. Step 4: Simplify right side
    32,586.24x = 449,949,911.04
  5. Step 5: Solve for x
    x = 449,949,911.04/32,586.24
  6. Step 6: Final answer
    x = 13,807.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.