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Finding the Fourth Proportional to 82,512.37, 113,847.56 and 46,702.38

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Solution

The fourth proportional to 82,512.37, 113,847.56 and 46,702.38 is: 64,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,512.37 : 113,847.56 = 46,702.38 : x
  2. Step 2: Convert to fraction form
    82,512.37/113,847.56 = 46,702.38/x
  3. Step 3: Cross multiply
    82,512.37x = 113,847.56 × 46,702.38
  4. Step 4: Simplify right side
    82,512.37x = 5,316,952,377.74
  5. Step 5: Solve for x
    x = 5,316,952,377.74/82,512.37
  6. Step 6: Final answer
    x = 64,438.24

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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.