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Finding the Fourth Proportional to 32,856.30, 49,257.45 and 14,150.70

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Solution

The fourth proportional to 32,856.30, 49,257.45 and 14,150.70 is: 21,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.30 : 49,257.45 = 14,150.70 : x
  2. Step 2: Convert to fraction form
    32,856.30/49,257.45 = 14,150.70/x
  3. Step 3: Cross multiply
    32,856.30x = 49,257.45 × 14,150.70
  4. Step 4: Simplify right side
    32,856.30x = 697,027,397.72
  5. Step 5: Solve for x
    x = 697,027,397.72/32,856.30
  6. Step 6: Final answer
    x = 21,214.42

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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.