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Finding the Fourth Proportional to 51,855.25, 77,782.88 and 14,919.25

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Solution

The fourth proportional to 51,855.25, 77,782.88 and 14,919.25 is: 22,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,855.25 : 77,782.88 = 14,919.25 : x
  2. Step 2: Convert to fraction form
    51,855.25/77,782.88 = 14,919.25/x
  3. Step 3: Cross multiply
    51,855.25x = 77,782.88 × 14,919.25
  4. Step 4: Simplify right side
    51,855.25x = 1,160,462,232.44
  5. Step 5: Solve for x
    x = 1,160,462,232.44/51,855.25
  6. Step 6: Final answer
    x = 22,378.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.