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Finding the Fourth Proportional to 36,977.40, 51,028.38 and 20,210.40

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Solution

The fourth proportional to 36,977.40, 51,028.38 and 20,210.40 is: 27,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,977.40 : 51,028.38 = 20,210.40 : x
  2. Step 2: Convert to fraction form
    36,977.40/51,028.38 = 20,210.40/x
  3. Step 3: Cross multiply
    36,977.40x = 51,028.38 × 20,210.40
  4. Step 4: Simplify right side
    36,977.40x = 1,031,303,971.15
  5. Step 5: Solve for x
    x = 1,031,303,971.15/36,977.40
  6. Step 6: Final answer
    x = 27,890.12

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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.