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Finding the Fourth Proportional to 55,496, 83,244 and 16,584

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Solution

The fourth proportional to 55,496, 83,244 and 16,584 is: 24,876

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,496 : 83,244 = 16,584 : x
  2. Step 2: Convert to fraction form
    55,496/83,244 = 16,584/x
  3. Step 3: Cross multiply
    55,496x = 83,244 × 16,584
  4. Step 4: Simplify right side
    55,496x = 1,380,518,496
  5. Step 5: Solve for x
    x = 1,380,518,496/55,496
  6. Step 6: Final answer
    x = 24,876

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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.