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Finding the Fourth Proportional to 35,759.86, 49,348.77 and 19,844.30

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Solution

The fourth proportional to 35,759.86, 49,348.77 and 19,844.30 is: 27,385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,759.86 : 49,348.77 = 19,844.30 : x
  2. Step 2: Convert to fraction form
    35,759.86/49,348.77 = 19,844.30/x
  3. Step 3: Cross multiply
    35,759.86x = 49,348.77 × 19,844.30
  4. Step 4: Simplify right side
    35,759.86x = 979,291,796.51
  5. Step 5: Solve for x
    x = 979,291,796.51/35,759.86
  6. Step 6: Final answer
    x = 27,385.22

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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.