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Finding the Fourth Proportional to 32,225.37, 48,280.84 and 13,464.11

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Solution

The fourth proportional to 32,225.37, 48,280.84 and 13,464.11 is: 20,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,225.37 : 48,280.84 = 13,464.11 : x
  2. Step 2: Convert to fraction form
    32,225.37/48,280.84 = 13,464.11/x
  3. Step 3: Cross multiply
    32,225.37x = 48,280.84 × 13,464.11
  4. Step 4: Simplify right side
    32,225.37x = 650,058,265.59
  5. Step 5: Solve for x
    x = 650,058,265.59/32,225.37
  6. Step 6: Final answer
    x = 20,172.25

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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.