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Finding the Fourth Proportional to 56,398, 84,597 and 19,462

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Solution

The fourth proportional to 56,398, 84,597 and 19,462 is: 29,193

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,398 : 84,597 = 19,462 : x
  2. Step 2: Convert to fraction form
    56,398/84,597 = 19,462/x
  3. Step 3: Cross multiply
    56,398x = 84,597 × 19,462
  4. Step 4: Simplify right side
    56,398x = 1,646,426,814
  5. Step 5: Solve for x
    x = 1,646,426,814/56,398
  6. Step 6: Final answer
    x = 29,193

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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.