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Finding the Fourth Proportional to 50,653.22, 69,897.95 and 27,992

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Solution

The fourth proportional to 50,653.22, 69,897.95 and 27,992 is: 38,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,653.22 : 69,897.95 = 27,992 : x
  2. Step 2: Convert to fraction form
    50,653.22/69,897.95 = 27,992/x
  3. Step 3: Cross multiply
    50,653.22x = 69,897.95 × 27,992
  4. Step 4: Simplify right side
    50,653.22x = 1,956,583,416.40
  5. Step 5: Solve for x
    x = 1,956,583,416.40/50,653.22
  6. Step 6: Final answer
    x = 38,627.03

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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.