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Finding the Fourth Proportional to 37,157.45, 51,277.27 and 21,242.25

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Solution

The fourth proportional to 37,157.45, 51,277.27 and 21,242.25 is: 29,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,157.45 : 51,277.27 = 21,242.25 : x
  2. Step 2: Convert to fraction form
    37,157.45/51,277.27 = 21,242.25/x
  3. Step 3: Cross multiply
    37,157.45x = 51,277.27 × 21,242.25
  4. Step 4: Simplify right side
    37,157.45x = 1,089,244,575.38
  5. Step 5: Solve for x
    x = 1,089,244,575.38/37,157.45
  6. Step 6: Final answer
    x = 29,314.30

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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.