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Finding the Fourth Proportional to 35,897.80, 49,538.90 and 19,983.64

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Solution

The fourth proportional to 35,897.80, 49,538.90 and 19,983.64 is: 27,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.80 : 49,538.90 = 19,983.64 : x
  2. Step 2: Convert to fraction form
    35,897.80/49,538.90 = 19,983.64/x
  3. Step 3: Cross multiply
    35,897.80x = 49,538.90 × 19,983.64
  4. Step 4: Simplify right side
    35,897.80x = 989,967,543.60
  5. Step 5: Solve for x
    x = 989,967,543.60/35,897.80
  6. Step 6: Final answer
    x = 27,577.39

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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.