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Finding the Fourth Proportional to 104,648.22, 156,971.05 and 25,763.13

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Solution

The fourth proportional to 104,648.22, 156,971.05 and 25,763.13 is: 38,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,648.22 : 156,971.05 = 25,763.13 : x
  2. Step 2: Convert to fraction form
    104,648.22/156,971.05 = 25,763.13/x
  3. Step 3: Cross multiply
    104,648.22x = 156,971.05 × 25,763.13
  4. Step 4: Simplify right side
    104,648.22x = 4,044,065,502.98
  5. Step 5: Solve for x
    x = 4,044,065,502.98/104,648.22
  6. Step 6: Final answer
    x = 38,644.38

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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.