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Finding the Fourth Proportional to 32,219.30, 48,328.34 and 13,239.90

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Solution

The fourth proportional to 32,219.30, 48,328.34 and 13,239.90 is: 19,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,219.30 : 48,328.34 = 13,239.90 : x
  2. Step 2: Convert to fraction form
    32,219.30/48,328.34 = 13,239.90/x
  3. Step 3: Cross multiply
    32,219.30x = 48,328.34 × 13,239.90
  4. Step 4: Simplify right side
    32,219.30x = 639,862,388.77
  5. Step 5: Solve for x
    x = 639,862,388.77/32,219.30
  6. Step 6: Final answer
    x = 19,859.60

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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.