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Finding the Fourth Proportional to 35,894.25, 49,534.08 and 19,982.46

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Solution

The fourth proportional to 35,894.25, 49,534.08 and 19,982.46 is: 27,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.25 : 49,534.08 = 19,982.46 : x
  2. Step 2: Convert to fraction form
    35,894.25/49,534.08 = 19,982.46/x
  3. Step 3: Cross multiply
    35,894.25x = 49,534.08 × 19,982.46
  4. Step 4: Simplify right side
    35,894.25x = 989,812,772.24
  5. Step 5: Solve for x
    x = 989,812,772.24/35,894.25
  6. Step 6: Final answer
    x = 27,575.80

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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.