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Finding the Fourth Proportional to 32,325.41, 48,488.12 and 8,951.84

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Solution

The fourth proportional to 32,325.41, 48,488.12 and 8,951.84 is: 13,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,325.41 : 48,488.12 = 8,951.84 : x
  2. Step 2: Convert to fraction form
    32,325.41/48,488.12 = 8,951.84/x
  3. Step 3: Cross multiply
    32,325.41x = 48,488.12 × 8,951.84
  4. Step 4: Simplify right side
    32,325.41x = 434,058,081.81
  5. Step 5: Solve for x
    x = 434,058,081.81/32,325.41
  6. Step 6: Final answer
    x = 13,427.77

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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.