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Finding the Fourth Proportional to 85,084.14, 127,621.04 and 37,685.31

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Solution

The fourth proportional to 85,084.14, 127,621.04 and 37,685.31 is: 56,525.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,084.14 : 127,621.04 = 37,685.31 : x
  2. Step 2: Convert to fraction form
    85,084.14/127,621.04 = 37,685.31/x
  3. Step 3: Cross multiply
    85,084.14x = 127,621.04 × 37,685.31
  4. Step 4: Simplify right side
    85,084.14x = 4,809,438,266.50
  5. Step 5: Solve for x
    x = 4,809,438,266.50/85,084.14
  6. Step 6: Final answer
    x = 56,525.67

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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.