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Finding the Fourth Proportional to 85,096.58, 127,644.84 and 22,765.46

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Solution

The fourth proportional to 85,096.58, 127,644.84 and 22,765.46 is: 34,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,096.58 : 127,644.84 = 22,765.46 : x
  2. Step 2: Convert to fraction form
    85,096.58/127,644.84 = 22,765.46/x
  3. Step 3: Cross multiply
    85,096.58x = 127,644.84 × 22,765.46
  4. Step 4: Simplify right side
    85,096.58x = 2,905,893,499.23
  5. Step 5: Solve for x
    x = 2,905,893,499.23/85,096.58
  6. Step 6: Final answer
    x = 34,148.18

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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.