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Finding the Fourth Proportional to 85,313.54, 127,970.31 and 43,734.02

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Solution

The fourth proportional to 85,313.54, 127,970.31 and 43,734.02 is: 65,601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,313.54 : 127,970.31 = 43,734.02 : x
  2. Step 2: Convert to fraction form
    85,313.54/127,970.31 = 43,734.02/x
  3. Step 3: Cross multiply
    85,313.54x = 127,970.31 × 43,734.02
  4. Step 4: Simplify right side
    85,313.54x = 5,596,656,096.95
  5. Step 5: Solve for x
    x = 5,596,656,096.95/85,313.54
  6. Step 6: Final answer
    x = 65,601.03

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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.