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Finding the Fourth Proportional to 35,843.88, 49,465.80 and 19,929

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Solution

The fourth proportional to 35,843.88, 49,465.80 and 19,929 is: 27,502.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,843.88 : 49,465.80 = 19,929 : x
  2. Step 2: Convert to fraction form
    35,843.88/49,465.80 = 19,929/x
  3. Step 3: Cross multiply
    35,843.88x = 49,465.80 × 19,929
  4. Step 4: Simplify right side
    35,843.88x = 985,803,928.20
  5. Step 5: Solve for x
    x = 985,803,928.20/35,843.88
  6. Step 6: Final answer
    x = 27,502.71

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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.