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Finding the Fourth Proportional to 50,005.44, 69,004.80 and 27,648

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Solution

The fourth proportional to 50,005.44, 69,004.80 and 27,648 is: 38,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,005.44 : 69,004.80 = 27,648 : x
  2. Step 2: Convert to fraction form
    50,005.44/69,004.80 = 27,648/x
  3. Step 3: Cross multiply
    50,005.44x = 69,004.80 × 27,648
  4. Step 4: Simplify right side
    50,005.44x = 1,907,844,710.40
  5. Step 5: Solve for x
    x = 1,907,844,710.40/50,005.44
  6. Step 6: Final answer
    x = 38,152.74

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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.