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Finding the Fourth Proportional to 32,377.90, 48,516.45 and 20,506.63

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Solution

The fourth proportional to 32,377.90, 48,516.45 and 20,506.63 is: 30,728.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,377.90 : 48,516.45 = 20,506.63 : x
  2. Step 2: Convert to fraction form
    32,377.90/48,516.45 = 20,506.63/x
  3. Step 3: Cross multiply
    32,377.90x = 48,516.45 × 20,506.63
  4. Step 4: Simplify right side
    32,377.90x = 994,908,889.06
  5. Step 5: Solve for x
    x = 994,908,889.06/32,377.90
  6. Step 6: Final answer
    x = 30,728.02

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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.