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Finding the Fourth Proportional to 55,915, 83,872.50 and 14,362

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Solution

The fourth proportional to 55,915, 83,872.50 and 14,362 is: 21,543

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,915 : 83,872.50 = 14,362 : x
  2. Step 2: Convert to fraction form
    55,915/83,872.50 = 14,362/x
  3. Step 3: Cross multiply
    55,915x = 83,872.50 × 14,362
  4. Step 4: Simplify right side
    55,915x = 1,204,576,845
  5. Step 5: Solve for x
    x = 1,204,576,845/55,915
  6. Step 6: Final answer
    x = 21,543

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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.