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Finding the Fourth Proportional to 35,326.74, 48,745.71 and 20,217

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Solution

The fourth proportional to 35,326.74, 48,745.71 and 20,217 is: 27,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,326.74 : 48,745.71 = 20,217 : x
  2. Step 2: Convert to fraction form
    35,326.74/48,745.71 = 20,217/x
  3. Step 3: Cross multiply
    35,326.74x = 48,745.71 × 20,217
  4. Step 4: Simplify right side
    35,326.74x = 985,492,019.07
  5. Step 5: Solve for x
    x = 985,492,019.07/35,326.74
  6. Step 6: Final answer
    x = 27,896.49

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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.