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Finding the Fourth Proportional to 32,309.30, 48,454.56 and 12,583.46

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Solution

The fourth proportional to 32,309.30, 48,454.56 and 12,583.46 is: 18,871.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,309.30 : 48,454.56 = 12,583.46 : x
  2. Step 2: Convert to fraction form
    32,309.30/48,454.56 = 12,583.46/x
  3. Step 3: Cross multiply
    32,309.30x = 48,454.56 × 12,583.46
  4. Step 4: Simplify right side
    32,309.30x = 609,726,017.58
  5. Step 5: Solve for x
    x = 609,726,017.58/32,309.30
  6. Step 6: Final answer
    x = 18,871.53

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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.