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Finding the Fourth Proportional to 52,951.38, 73,089.30 and 34,088.50

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Solution

The fourth proportional to 52,951.38, 73,089.30 and 34,088.50 is: 47,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,951.38 : 73,089.30 = 34,088.50 : x
  2. Step 2: Convert to fraction form
    52,951.38/73,089.30 = 34,088.50/x
  3. Step 3: Cross multiply
    52,951.38x = 73,089.30 × 34,088.50
  4. Step 4: Simplify right side
    52,951.38x = 2,491,504,603.05
  5. Step 5: Solve for x
    x = 2,491,504,603.05/52,951.38
  6. Step 6: Final answer
    x = 47,052.69

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Why These Related Problems?

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