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Finding the Fourth Proportional to 82,396.72, 123,486.88 and 46,874.32

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Solution

The fourth proportional to 82,396.72, 123,486.88 and 46,874.32 is: 70,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,396.72 : 123,486.88 = 46,874.32 : x
  2. Step 2: Convert to fraction form
    82,396.72/123,486.88 = 46,874.32/x
  3. Step 3: Cross multiply
    82,396.72x = 123,486.88 × 46,874.32
  4. Step 4: Simplify right side
    82,396.72x = 5,788,363,528.92
  5. Step 5: Solve for x
    x = 5,788,363,528.92/82,396.72
  6. Step 6: Final answer
    x = 70,249.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.