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Finding the Fourth Proportional to 82,750.82, 114,198.35 and 46,946.21

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Solution

The fourth proportional to 82,750.82, 114,198.35 and 46,946.21 is: 64,787.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,750.82 : 114,198.35 = 46,946.21 : x
  2. Step 2: Convert to fraction form
    82,750.82/114,198.35 = 46,946.21/x
  3. Step 3: Cross multiply
    82,750.82x = 114,198.35 × 46,946.21
  4. Step 4: Simplify right side
    82,750.82x = 5,361,178,915.03
  5. Step 5: Solve for x
    x = 5,361,178,915.03/82,750.82
  6. Step 6: Final answer
    x = 64,787.02

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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.