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Finding the Fourth Proportional to 52,517.16, 78,590.70 and 32,805

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Solution

The fourth proportional to 52,517.16, 78,590.70 and 32,805 is: 49,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,517.16 : 78,590.70 = 32,805 : x
  2. Step 2: Convert to fraction form
    52,517.16/78,590.70 = 32,805/x
  3. Step 3: Cross multiply
    52,517.16x = 78,590.70 × 32,805
  4. Step 4: Simplify right side
    52,517.16x = 2,578,167,913.50
  5. Step 5: Solve for x
    x = 2,578,167,913.50/52,517.16
  6. Step 6: Final answer
    x = 49,091.91

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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.