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Finding the Fourth Proportional to 32,856.40, 49,284.60 and 14,145.40

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Solution

The fourth proportional to 32,856.40, 49,284.60 and 14,145.40 is: 21,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.40 : 49,284.60 = 14,145.40 : x
  2. Step 2: Convert to fraction form
    32,856.40/49,284.60 = 14,145.40/x
  3. Step 3: Cross multiply
    32,856.40x = 49,284.60 × 14,145.40
  4. Step 4: Simplify right side
    32,856.40x = 697,150,380.84
  5. Step 5: Solve for x
    x = 697,150,380.84/32,856.40
  6. Step 6: Final answer
    x = 21,218.10

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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.