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Finding the Fourth Proportional to 33,158.40, 49,746.71 and 9,784.83

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Solution

The fourth proportional to 33,158.40, 49,746.71 and 9,784.83 is: 14,679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,158.40 : 49,746.71 = 9,784.83 : x
  2. Step 2: Convert to fraction form
    33,158.40/49,746.71 = 9,784.83/x
  3. Step 3: Cross multiply
    33,158.40x = 49,746.71 × 9,784.83
  4. Step 4: Simplify right side
    33,158.40x = 486,763,311.42
  5. Step 5: Solve for x
    x = 486,763,311.42/33,158.40
  6. Step 6: Final answer
    x = 14,679.94

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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.