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Finding the Fourth Proportional to 83,852.82, 125,779.32 and 21,523.32

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Solution

The fourth proportional to 83,852.82, 125,779.32 and 21,523.32 is: 32,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,852.82 : 125,779.32 = 21,523.32 : x
  2. Step 2: Convert to fraction form
    83,852.82/125,779.32 = 21,523.32/x
  3. Step 3: Cross multiply
    83,852.82x = 125,779.32 × 21,523.32
  4. Step 4: Simplify right side
    83,852.82x = 2,707,188,553.74
  5. Step 5: Solve for x
    x = 2,707,188,553.74/83,852.82
  6. Step 6: Final answer
    x = 32,285.00

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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.