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Finding the Fourth Proportional to 37,858.22, 52,242.68 and 21,714.01

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Solution

The fourth proportional to 37,858.22, 52,242.68 and 21,714.01 is: 29,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858.22 : 52,242.68 = 21,714.01 : x
  2. Step 2: Convert to fraction form
    37,858.22/52,242.68 = 21,714.01/x
  3. Step 3: Cross multiply
    37,858.22x = 52,242.68 × 21,714.01
  4. Step 4: Simplify right side
    37,858.22x = 1,134,398,075.95
  5. Step 5: Solve for x
    x = 1,134,398,075.95/37,858.22
  6. Step 6: Final answer
    x = 29,964.38

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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.