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Finding the Fourth Proportional to 35,690.98, 49,251.49 and 19,774.48

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Solution

The fourth proportional to 35,690.98, 49,251.49 and 19,774.48 is: 27,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,690.98 : 49,251.49 = 19,774.48 : x
  2. Step 2: Convert to fraction form
    35,690.98/49,251.49 = 19,774.48/x
  3. Step 3: Cross multiply
    35,690.98x = 49,251.49 × 19,774.48
  4. Step 4: Simplify right side
    35,690.98x = 973,922,603.98
  5. Step 5: Solve for x
    x = 973,922,603.98/35,690.98
  6. Step 6: Final answer
    x = 27,287.64

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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.