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Finding the Fourth Proportional to 35,774.24, 49,361.24 and 19,856.48

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Solution

The fourth proportional to 35,774.24, 49,361.24 and 19,856.48 is: 27,397.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,774.24 : 49,361.24 = 19,856.48 : x
  2. Step 2: Convert to fraction form
    35,774.24/49,361.24 = 19,856.48/x
  3. Step 3: Cross multiply
    35,774.24x = 49,361.24 × 19,856.48
  4. Step 4: Simplify right side
    35,774.24x = 980,140,474.84
  5. Step 5: Solve for x
    x = 980,140,474.84/35,774.24
  6. Step 6: Final answer
    x = 27,397.94

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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.