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Finding the Fourth Proportional to 36,996, 51,054.48 and 20,229

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Solution

The fourth proportional to 36,996, 51,054.48 and 20,229 is: 27,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,996 : 51,054.48 = 20,229 : x
  2. Step 2: Convert to fraction form
    36,996/51,054.48 = 20,229/x
  3. Step 3: Cross multiply
    36,996x = 51,054.48 × 20,229
  4. Step 4: Simplify right side
    36,996x = 1,032,781,075.92
  5. Step 5: Solve for x
    x = 1,032,781,075.92/36,996
  6. Step 6: Final answer
    x = 27,916.02

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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.