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Finding the Fourth Proportional to 50,509, 69,702.82 and 27,848.80

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Solution

The fourth proportional to 50,509, 69,702.82 and 27,848.80 is: 38,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509 : 69,702.82 = 27,848.80 : x
  2. Step 2: Convert to fraction form
    50,509/69,702.82 = 27,848.80/x
  3. Step 3: Cross multiply
    50,509x = 69,702.82 × 27,848.80
  4. Step 4: Simplify right side
    50,509x = 1,941,139,893.62
  5. Step 5: Solve for x
    x = 1,941,139,893.62/50,509
  6. Step 6: Final answer
    x = 38,431.56

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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.