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Finding the Fourth Proportional to 46,363.44, 69,545.16 and 18,642

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Solution

The fourth proportional to 46,363.44, 69,545.16 and 18,642 is: 27,963

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,363.44 : 69,545.16 = 18,642 : x
  2. Step 2: Convert to fraction form
    46,363.44/69,545.16 = 18,642/x
  3. Step 3: Cross multiply
    46,363.44x = 69,545.16 × 18,642
  4. Step 4: Simplify right side
    46,363.44x = 1,296,460,872.72
  5. Step 5: Solve for x
    x = 1,296,460,872.72/46,363.44
  6. Step 6: Final answer
    x = 27,963

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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.