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Finding the Fourth Proportional to 35,970.84, 49,636.14 and 20,053.80

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Solution

The fourth proportional to 35,970.84, 49,636.14 and 20,053.80 is: 27,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,970.84 : 49,636.14 = 20,053.80 : x
  2. Step 2: Convert to fraction form
    35,970.84/49,636.14 = 20,053.80/x
  3. Step 3: Cross multiply
    35,970.84x = 49,636.14 × 20,053.80
  4. Step 4: Simplify right side
    35,970.84x = 995,393,224.33
  5. Step 5: Solve for x
    x = 995,393,224.33/35,970.84
  6. Step 6: Final answer
    x = 27,672.23

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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.