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Finding the Fourth Proportional to 50,896.58, 70,207.88 and 31,743.12

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Solution

The fourth proportional to 50,896.58, 70,207.88 and 31,743.12 is: 43,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,896.58 : 70,207.88 = 31,743.12 : x
  2. Step 2: Convert to fraction form
    50,896.58/70,207.88 = 31,743.12/x
  3. Step 3: Cross multiply
    50,896.58x = 70,207.88 × 31,743.12
  4. Step 4: Simplify right side
    50,896.58x = 2,228,617,159.79
  5. Step 5: Solve for x
    x = 2,228,617,159.79/50,896.58
  6. Step 6: Final answer
    x = 43,787.17

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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.