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Finding the Fourth Proportional to 56,498, 84,747 and 19,562

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Solution

The fourth proportional to 56,498, 84,747 and 19,562 is: 29,343

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,498 : 84,747 = 19,562 : x
  2. Step 2: Convert to fraction form
    56,498/84,747 = 19,562/x
  3. Step 3: Cross multiply
    56,498x = 84,747 × 19,562
  4. Step 4: Simplify right side
    56,498x = 1,657,820,814
  5. Step 5: Solve for x
    x = 1,657,820,814/56,498
  6. Step 6: Final answer
    x = 29,343

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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.