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Finding the Fourth Proportional to 82,311,874.62, 113,582,199.03 and 47,515,774.98

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Solution

The fourth proportional to 82,311,874.62, 113,582,199.03 and 47,515,774.98 is: 65,567,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,311,874.62 : 113,582,199.03 = 47,515,774.98 : x
  2. Step 2: Convert to fraction form
    82,311,874.62/113,582,199.03 = 47,515,774.98/x
  3. Step 3: Cross multiply
    82,311,874.62x = 113,582,199.03 × 47,515,774.98
  4. Step 4: Simplify right side
    82,311,874.62x = 5,396,946,210,843,054
  5. Step 5: Solve for x
    x = 5,396,946,210,843,054/82,311,874.62
  6. Step 6: Final answer
    x = 65,567,042.86

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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.