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Finding the Fourth Proportional to 61,393, 84,722.34 and 34,897

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Solution

The fourth proportional to 61,393, 84,722.34 and 34,897 is: 48,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,393 : 84,722.34 = 34,897 : x
  2. Step 2: Convert to fraction form
    61,393/84,722.34 = 34,897/x
  3. Step 3: Cross multiply
    61,393x = 84,722.34 × 34,897
  4. Step 4: Simplify right side
    61,393x = 2,956,555,498.98
  5. Step 5: Solve for x
    x = 2,956,555,498.98/61,393
  6. Step 6: Final answer
    x = 48,157.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.