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Finding the Fourth Proportional to 46,853.88, 64,651.98 and 27,987

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Solution

The fourth proportional to 46,853.88, 64,651.98 and 27,987 is: 38,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,853.88 : 64,651.98 = 27,987 : x
  2. Step 2: Convert to fraction form
    46,853.88/64,651.98 = 27,987/x
  3. Step 3: Cross multiply
    46,853.88x = 64,651.98 × 27,987
  4. Step 4: Simplify right side
    46,853.88x = 1,809,414,964.26
  5. Step 5: Solve for x
    x = 1,809,414,964.26/46,853.88
  6. Step 6: Final answer
    x = 38,618.25

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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.