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Finding the Fourth Proportional to 32,108.84, 48,052.92 and 20,257.16

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Solution

The fourth proportional to 32,108.84, 48,052.92 and 20,257.16 is: 30,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,108.84 : 48,052.92 = 20,257.16 : x
  2. Step 2: Convert to fraction form
    32,108.84/48,052.92 = 20,257.16/x
  3. Step 3: Cross multiply
    32,108.84x = 48,052.92 × 20,257.16
  4. Step 4: Simplify right side
    32,108.84x = 973,415,688.91
  5. Step 5: Solve for x
    x = 973,415,688.91/32,108.84
  6. Step 6: Final answer
    x = 30,316.13

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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.