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Finding the Fourth Proportional to 50,207, 69,285.66 and 27,855.32

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Solution

The fourth proportional to 50,207, 69,285.66 and 27,855.32 is: 38,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,207 : 69,285.66 = 27,855.32 : x
  2. Step 2: Convert to fraction form
    50,207/69,285.66 = 27,855.32/x
  3. Step 3: Cross multiply
    50,207x = 69,285.66 × 27,855.32
  4. Step 4: Simplify right side
    50,207x = 1,929,974,230.71
  5. Step 5: Solve for x
    x = 1,929,974,230.71/50,207
  6. Step 6: Final answer
    x = 38,440.34

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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.