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Finding the Fourth Proportional to 35,645.84, 49,187.88 and 20,738.96

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Solution

The fourth proportional to 35,645.84, 49,187.88 and 20,738.96 is: 28,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,645.84 : 49,187.88 = 20,738.96 : x
  2. Step 2: Convert to fraction form
    35,645.84/49,187.88 = 20,738.96/x
  3. Step 3: Cross multiply
    35,645.84x = 49,187.88 × 20,738.96
  4. Step 4: Simplify right side
    35,645.84x = 1,020,105,475.80
  5. Step 5: Solve for x
    x = 1,020,105,475.80/35,645.84
  6. Step 6: Final answer
    x = 28,617.80

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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.