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Finding the Fourth Proportional to 52,540.88, 72,506.42 and 33,678.05

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Solution

The fourth proportional to 52,540.88, 72,506.42 and 33,678.05 is: 46,475.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,540.88 : 72,506.42 = 33,678.05 : x
  2. Step 2: Convert to fraction form
    52,540.88/72,506.42 = 33,678.05/x
  3. Step 3: Cross multiply
    52,540.88x = 72,506.42 × 33,678.05
  4. Step 4: Simplify right side
    52,540.88x = 2,441,874,307.16
  5. Step 5: Solve for x
    x = 2,441,874,307.16/52,540.88
  6. Step 6: Final answer
    x = 46,475.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.