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Finding the Fourth Proportional to 56,658, 84,987.36 and 19,722

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Solution

The fourth proportional to 56,658, 84,987.36 and 19,722 is: 29,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,658 : 84,987.36 = 19,722 : x
  2. Step 2: Convert to fraction form
    56,658/84,987.36 = 19,722/x
  3. Step 3: Cross multiply
    56,658x = 84,987.36 × 19,722
  4. Step 4: Simplify right side
    56,658x = 1,676,120,713.92
  5. Step 5: Solve for x
    x = 1,676,120,713.92/56,658
  6. Step 6: Final answer
    x = 29,583.13

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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.