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Finding the Fourth Proportional to 35,941, 49,599.06 and 20,834.74

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Solution

The fourth proportional to 35,941, 49,599.06 and 20,834.74 is: 28,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,941 : 49,599.06 = 20,834.74 : x
  2. Step 2: Convert to fraction form
    35,941/49,599.06 = 20,834.74/x
  3. Step 3: Cross multiply
    35,941x = 49,599.06 × 20,834.74
  4. Step 4: Simplify right side
    35,941x = 1,033,383,519.34
  5. Step 5: Solve for x
    x = 1,033,383,519.34/35,941
  6. Step 6: Final answer
    x = 28,752.22

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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.