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Finding the Fourth Proportional to 82,972.22, 114,497.16 and 47,157.26

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Solution

The fourth proportional to 82,972.22, 114,497.16 and 47,157.26 is: 65,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,972.22 : 114,497.16 = 47,157.26 : x
  2. Step 2: Convert to fraction form
    82,972.22/114,497.16 = 47,157.26/x
  3. Step 3: Cross multiply
    82,972.22x = 114,497.16 × 47,157.26
  4. Step 4: Simplify right side
    82,972.22x = 5,399,372,343.38
  5. Step 5: Solve for x
    x = 5,399,372,343.38/82,972.22
  6. Step 6: Final answer
    x = 65,074.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.