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Finding the Fourth Proportional to 32,850.64, 49,276.28 and 14,129.40

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Solution

The fourth proportional to 32,850.64, 49,276.28 and 14,129.40 is: 21,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,850.64 : 49,276.28 = 14,129.40 : x
  2. Step 2: Convert to fraction form
    32,850.64/49,276.28 = 14,129.40/x
  3. Step 3: Cross multiply
    32,850.64x = 49,276.28 × 14,129.40
  4. Step 4: Simplify right side
    32,850.64x = 696,244,270.63
  5. Step 5: Solve for x
    x = 696,244,270.63/32,850.64
  6. Step 6: Final answer
    x = 21,194.24

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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.