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Finding the Fourth Proportional to 32,856.39, 49,292.81 and 9,482.83

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Solution

The fourth proportional to 32,856.39, 49,292.81 and 9,482.83 is: 14,226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.39 : 49,292.81 = 9,482.83 : x
  2. Step 2: Convert to fraction form
    32,856.39/49,292.81 = 9,482.83/x
  3. Step 3: Cross multiply
    32,856.39x = 49,292.81 × 9,482.83
  4. Step 4: Simplify right side
    32,856.39x = 467,435,337.45
  5. Step 5: Solve for x
    x = 467,435,337.45/32,856.39
  6. Step 6: Final answer
    x = 14,226.62

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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.