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Finding the Fourth Proportional to 32,374.84, 48,523.34 and 13,647.64

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Solution

The fourth proportional to 32,374.84, 48,523.34 and 13,647.64 is: 20,455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,374.84 : 48,523.34 = 13,647.64 : x
  2. Step 2: Convert to fraction form
    32,374.84/48,523.34 = 13,647.64/x
  3. Step 3: Cross multiply
    32,374.84x = 48,523.34 × 13,647.64
  4. Step 4: Simplify right side
    32,374.84x = 662,229,075.92
  5. Step 5: Solve for x
    x = 662,229,075.92/32,374.84
  6. Step 6: Final answer
    x = 20,455.05

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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.