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Finding the Fourth Proportional to 35,649.66, 49,195.95 and 19,733.76

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Solution

The fourth proportional to 35,649.66, 49,195.95 and 19,733.76 is: 27,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,649.66 : 49,195.95 = 19,733.76 : x
  2. Step 2: Convert to fraction form
    35,649.66/49,195.95 = 19,733.76/x
  3. Step 3: Cross multiply
    35,649.66x = 49,195.95 × 19,733.76
  4. Step 4: Simplify right side
    35,649.66x = 970,821,070.27
  5. Step 5: Solve for x
    x = 970,821,070.27/35,649.66
  6. Step 6: Final answer
    x = 27,232.27

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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.