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Finding the Fourth Proportional to 82,963.44, 114,492 and 50,703.36

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Solution

The fourth proportional to 82,963.44, 114,492 and 50,703.36 is: 69,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,963.44 : 114,492 = 50,703.36 : x
  2. Step 2: Convert to fraction form
    82,963.44/114,492 = 50,703.36/x
  3. Step 3: Cross multiply
    82,963.44x = 114,492 × 50,703.36
  4. Step 4: Simplify right side
    82,963.44x = 5,805,129,093.12
  5. Step 5: Solve for x
    x = 5,805,129,093.12/82,963.44
  6. Step 6: Final answer
    x = 69,972.14

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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.