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Finding the Fourth Proportional to 56,502, 84,753 and 19,566

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Solution

The fourth proportional to 56,502, 84,753 and 19,566 is: 29,349

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,502 : 84,753 = 19,566 : x
  2. Step 2: Convert to fraction form
    56,502/84,753 = 19,566/x
  3. Step 3: Cross multiply
    56,502x = 84,753 × 19,566
  4. Step 4: Simplify right side
    56,502x = 1,658,277,198
  5. Step 5: Solve for x
    x = 1,658,277,198/56,502
  6. Step 6: Final answer
    x = 29,349

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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.