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Finding the Fourth Proportional to 36,977.98, 51,029.59 and 20,210.98

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Solution

The fourth proportional to 36,977.98, 51,029.59 and 20,210.98 is: 27,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,977.98 : 51,029.59 = 20,210.98 : x
  2. Step 2: Convert to fraction form
    36,977.98/51,029.59 = 20,210.98/x
  3. Step 3: Cross multiply
    36,977.98x = 51,029.59 × 20,210.98
  4. Step 4: Simplify right side
    36,977.98x = 1,031,358,022.90
  5. Step 5: Solve for x
    x = 1,031,358,022.90/36,977.98
  6. Step 6: Final answer
    x = 27,891.14

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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.