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Finding the Fourth Proportional to 82,968.22, 114,491.64 and 47,153.26

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Solution

The fourth proportional to 82,968.22, 114,491.64 and 47,153.26 is: 65,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,968.22 : 114,491.64 = 47,153.26 : x
  2. Step 2: Convert to fraction form
    82,968.22/114,491.64 = 47,153.26/x
  3. Step 3: Cross multiply
    82,968.22x = 114,491.64 × 47,153.26
  4. Step 4: Simplify right side
    82,968.22x = 5,398,654,068.75
  5. Step 5: Solve for x
    x = 5,398,654,068.75/82,968.22
  6. Step 6: Final answer
    x = 65,068.94

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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.