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Finding the Fourth Proportional to 35,940.52, 49,594.74 and 20,024.65

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Solution

The fourth proportional to 35,940.52, 49,594.74 and 20,024.65 is: 27,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,940.52 : 49,594.74 = 20,024.65 : x
  2. Step 2: Convert to fraction form
    35,940.52/49,594.74 = 20,024.65/x
  3. Step 3: Cross multiply
    35,940.52x = 49,594.74 × 20,024.65
  4. Step 4: Simplify right side
    35,940.52x = 993,117,310.34
  5. Step 5: Solve for x
    x = 993,117,310.34/35,940.52
  6. Step 6: Final answer
    x = 27,632.25

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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.