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Finding the Fourth Proportional to 82,696.85, 114,122.82 and 61,963.63

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Solution

The fourth proportional to 82,696.85, 114,122.82 and 61,963.63 is: 85,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,696.85 : 114,122.82 = 61,963.63 : x
  2. Step 2: Convert to fraction form
    82,696.85/114,122.82 = 61,963.63/x
  3. Step 3: Cross multiply
    82,696.85x = 114,122.82 × 61,963.63
  4. Step 4: Simplify right side
    82,696.85x = 7,071,464,782.03
  5. Step 5: Solve for x
    x = 7,071,464,782.03/82,696.85
  6. Step 6: Final answer
    x = 85,510.69

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1.5x scale

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.