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Finding the Fourth Proportional to 32,048.49, 48,082.44 and 22,706.58

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Solution

The fourth proportional to 32,048.49, 48,082.44 and 22,706.58 is: 34,066.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048.49 : 48,082.44 = 22,706.58 : x
  2. Step 2: Convert to fraction form
    32,048.49/48,082.44 = 22,706.58/x
  3. Step 3: Cross multiply
    32,048.49x = 48,082.44 × 22,706.58
  4. Step 4: Simplify right side
    32,048.49x = 1,091,787,770.46
  5. Step 5: Solve for x
    x = 1,091,787,770.46/32,048.49
  6. Step 6: Final answer
    x = 34,066.75

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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.