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Finding the Fourth Proportional to 35,852.88, 49,473.80 and 20,946

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Solution

The fourth proportional to 35,852.88, 49,473.80 and 20,946 is: 28,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,852.88 : 49,473.80 = 20,946 : x
  2. Step 2: Convert to fraction form
    35,852.88/49,473.80 = 20,946/x
  3. Step 3: Cross multiply
    35,852.88x = 49,473.80 × 20,946
  4. Step 4: Simplify right side
    35,852.88x = 1,036,278,214.80
  5. Step 5: Solve for x
    x = 1,036,278,214.80/35,852.88
  6. Step 6: Final answer
    x = 28,903.63

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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.