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Finding the Fourth Proportional to 32,491.35, 48,743.08 and 10,298.77

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Solution

The fourth proportional to 32,491.35, 48,743.08 and 10,298.77 is: 15,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,491.35 : 48,743.08 = 10,298.77 : x
  2. Step 2: Convert to fraction form
    32,491.35/48,743.08 = 10,298.77/x
  3. Step 3: Cross multiply
    32,491.35x = 48,743.08 × 10,298.77
  4. Step 4: Simplify right side
    32,491.35x = 501,993,622.41
  5. Step 5: Solve for x
    x = 501,993,622.41/32,491.35
  6. Step 6: Final answer
    x = 15,450.07

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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.