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Finding the Fourth Proportional to 83,308.10, 124,852.80 and 33,347.30

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Solution

The fourth proportional to 83,308.10, 124,852.80 and 33,347.30 is: 49,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,308.10 : 124,852.80 = 33,347.30 : x
  2. Step 2: Convert to fraction form
    83,308.10/124,852.80 = 33,347.30/x
  3. Step 3: Cross multiply
    83,308.10x = 124,852.80 × 33,347.30
  4. Step 4: Simplify right side
    83,308.10x = 4,163,503,777.44
  5. Step 5: Solve for x
    x = 4,163,503,777.44/83,308.10
  6. Step 6: Final answer
    x = 49,977.18

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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.