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Finding the Fourth Proportional to 32,847.48, 49,272.24 and 12,856.20

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Solution

The fourth proportional to 32,847.48, 49,272.24 and 12,856.20 is: 19,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,847.48 : 49,272.24 = 12,856.20 : x
  2. Step 2: Convert to fraction form
    32,847.48/49,272.24 = 12,856.20/x
  3. Step 3: Cross multiply
    32,847.48x = 49,272.24 × 12,856.20
  4. Step 4: Simplify right side
    32,847.48x = 633,453,771.89
  5. Step 5: Solve for x
    x = 633,453,771.89/32,847.48
  6. Step 6: Final answer
    x = 19,284.70

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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.