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Finding the Fourth Proportional to 39,616, 54,670.08 and 22,849

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Solution

The fourth proportional to 39,616, 54,670.08 and 22,849 is: 31,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,616 : 54,670.08 = 22,849 : x
  2. Step 2: Convert to fraction form
    39,616/54,670.08 = 22,849/x
  3. Step 3: Cross multiply
    39,616x = 54,670.08 × 22,849
  4. Step 4: Simplify right side
    39,616x = 1,249,156,657.92
  5. Step 5: Solve for x
    x = 1,249,156,657.92/39,616
  6. Step 6: Final answer
    x = 31,531.62

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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.