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Finding the Fourth Proportional to 35,707, 49,255.14 and 22,271.80

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Solution

The fourth proportional to 35,707, 49,255.14 and 22,271.80 is: 30,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,707 : 49,255.14 = 22,271.80 : x
  2. Step 2: Convert to fraction form
    35,707/49,255.14 = 22,271.80/x
  3. Step 3: Cross multiply
    35,707x = 49,255.14 × 22,271.80
  4. Step 4: Simplify right side
    35,707x = 1,097,000,627.05
  5. Step 5: Solve for x
    x = 1,097,000,627.05/35,707
  6. Step 6: Final answer
    x = 30,722.28

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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.