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Finding the Fourth Proportional to 32,222.56, 48,320.16 and 12,497.44

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Solution

The fourth proportional to 32,222.56, 48,320.16 and 12,497.44 is: 18,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,222.56 : 48,320.16 = 12,497.44 : x
  2. Step 2: Convert to fraction form
    32,222.56/48,320.16 = 12,497.44/x
  3. Step 3: Cross multiply
    32,222.56x = 48,320.16 × 12,497.44
  4. Step 4: Simplify right side
    32,222.56x = 603,878,300.39
  5. Step 5: Solve for x
    x = 603,878,300.39/32,222.56
  6. Step 6: Final answer
    x = 18,740.85

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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.