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Finding the Fourth Proportional to 35,646, 49,179.44 and 20,538.26

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Solution

The fourth proportional to 35,646, 49,179.44 and 20,538.26 is: 28,335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,646 : 49,179.44 = 20,538.26 : x
  2. Step 2: Convert to fraction form
    35,646/49,179.44 = 20,538.26/x
  3. Step 3: Cross multiply
    35,646x = 49,179.44 × 20,538.26
  4. Step 4: Simplify right side
    35,646x = 1,010,060,125.37
  5. Step 5: Solve for x
    x = 1,010,060,125.37/35,646
  6. Step 6: Final answer
    x = 28,335.86

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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.