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Finding the Fourth Proportional to 83,159.82, 124,739.82 and 20,830.32

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Solution

The fourth proportional to 83,159.82, 124,739.82 and 20,830.32 is: 31,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,159.82 : 124,739.82 = 20,830.32 : x
  2. Step 2: Convert to fraction form
    83,159.82/124,739.82 = 20,830.32/x
  3. Step 3: Cross multiply
    83,159.82x = 124,739.82 × 20,830.32
  4. Step 4: Simplify right side
    83,159.82x = 2,598,370,367.34
  5. Step 5: Solve for x
    x = 2,598,370,367.34/83,159.82
  6. Step 6: Final answer
    x = 31,245.50

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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.