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Finding the Fourth Proportional to 33,541.84, 50,314.48 and 8,582.10

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Solution

The fourth proportional to 33,541.84, 50,314.48 and 8,582.10 is: 12,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,541.84 : 50,314.48 = 8,582.10 : x
  2. Step 2: Convert to fraction form
    33,541.84/50,314.48 = 8,582.10/x
  3. Step 3: Cross multiply
    33,541.84x = 50,314.48 × 8,582.10
  4. Step 4: Simplify right side
    33,541.84x = 431,803,898.81
  5. Step 5: Solve for x
    x = 431,803,898.81/33,541.84
  6. Step 6: Final answer
    x = 12,873.59

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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.