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Finding the Fourth Proportional to 82,344.67, 113,622.69 and 47,897.02

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Solution

The fourth proportional to 82,344.67, 113,622.69 and 47,897.02 is: 66,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,344.67 : 113,622.69 = 47,897.02 : x
  2. Step 2: Convert to fraction form
    82,344.67/113,622.69 = 47,897.02/x
  3. Step 3: Cross multiply
    82,344.67x = 113,622.69 × 47,897.02
  4. Step 4: Simplify right side
    82,344.67x = 5,442,188,255.38
  5. Step 5: Solve for x
    x = 5,442,188,255.38/82,344.67
  6. Step 6: Final answer
    x = 66,090.35

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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.