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Finding the Fourth Proportional to 37,570.41, 51,847.16 and 20,803.41

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Solution

The fourth proportional to 37,570.41, 51,847.16 and 20,803.41 is: 28,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,570.41 : 51,847.16 = 20,803.41 : x
  2. Step 2: Convert to fraction form
    37,570.41/51,847.16 = 20,803.41/x
  3. Step 3: Cross multiply
    37,570.41x = 51,847.16 × 20,803.41
  4. Step 4: Simplify right side
    37,570.41x = 1,078,597,726.82
  5. Step 5: Solve for x
    x = 1,078,597,726.82/37,570.41
  6. Step 6: Final answer
    x = 28,708.70

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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.