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Finding the Fourth Proportional to 85,085.16, 127,433.34 and 40,743.06

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Solution

The fourth proportional to 85,085.16, 127,433.34 and 40,743.06 is: 61,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,085.16 : 127,433.34 = 40,743.06 : x
  2. Step 2: Convert to fraction form
    85,085.16/127,433.34 = 40,743.06/x
  3. Step 3: Cross multiply
    85,085.16x = 127,433.34 × 40,743.06
  4. Step 4: Simplify right side
    85,085.16x = 5,192,024,217.62
  5. Step 5: Solve for x
    x = 5,192,024,217.62/85,085.16
  6. Step 6: Final answer
    x = 61,021.50

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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.