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Finding the Fourth Proportional to 84,771.96, 127,131.48 and 29,355

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Solution

The fourth proportional to 84,771.96, 127,131.48 and 29,355 is: 44,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,771.96 : 127,131.48 = 29,355 : x
  2. Step 2: Convert to fraction form
    84,771.96/127,131.48 = 29,355/x
  3. Step 3: Cross multiply
    84,771.96x = 127,131.48 × 29,355
  4. Step 4: Simplify right side
    84,771.96x = 3,731,944,595.40
  5. Step 5: Solve for x
    x = 3,731,944,595.40/84,771.96
  6. Step 6: Final answer
    x = 44,023.34

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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.