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Finding the Fourth Proportional to 82,962.52, 114,485.82 and 47,156.44

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Solution

The fourth proportional to 82,962.52, 114,485.82 and 47,156.44 is: 65,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,962.52 : 114,485.82 = 47,156.44 : x
  2. Step 2: Convert to fraction form
    82,962.52/114,485.82 = 47,156.44/x
  3. Step 3: Cross multiply
    82,962.52x = 114,485.82 × 47,156.44
  4. Step 4: Simplify right side
    82,962.52x = 5,398,743,701.68
  5. Step 5: Solve for x
    x = 5,398,743,701.68/82,962.52
  6. Step 6: Final answer
    x = 65,074.49

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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.