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Finding the Fourth Proportional to 35,897.76, 49,538.44 and 19,982.24

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Solution

The fourth proportional to 35,897.76, 49,538.44 and 19,982.24 is: 27,575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.76 : 49,538.44 = 19,982.24 : x
  2. Step 2: Convert to fraction form
    35,897.76/49,538.44 = 19,982.24/x
  3. Step 3: Cross multiply
    35,897.76x = 49,538.44 × 19,982.24
  4. Step 4: Simplify right side
    35,897.76x = 989,888,997.31
  5. Step 5: Solve for x
    x = 989,888,997.31/35,897.76
  6. Step 6: Final answer
    x = 27,575.23

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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.