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Finding the Fourth Proportional to 83,705.48, 125,557.50 and 33,784.80

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Solution

The fourth proportional to 83,705.48, 125,557.50 and 33,784.80 is: 50,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,705.48 : 125,557.50 = 33,784.80 : x
  2. Step 2: Convert to fraction form
    83,705.48/125,557.50 = 33,784.80/x
  3. Step 3: Cross multiply
    83,705.48x = 125,557.50 × 33,784.80
  4. Step 4: Simplify right side
    83,705.48x = 4,241,935,026.00
  5. Step 5: Solve for x
    x = 4,241,935,026.00/83,705.48
  6. Step 6: Final answer
    x = 50,676.91

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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.