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Finding the Fourth Proportional to 82,644.63, 114,049.58 and 49,110.63

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Solution

The fourth proportional to 82,644.63, 114,049.58 and 49,110.63 is: 67,772.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,644.63 : 114,049.58 = 49,110.63 : x
  2. Step 2: Convert to fraction form
    82,644.63/114,049.58 = 49,110.63/x
  3. Step 3: Cross multiply
    82,644.63x = 114,049.58 × 49,110.63
  4. Step 4: Simplify right side
    82,644.63x = 5,601,046,725.04
  5. Step 5: Solve for x
    x = 5,601,046,725.04/82,644.63
  6. Step 6: Final answer
    x = 67,772.66

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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.