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Finding the Fourth Proportional to 37,177, 51,304.74 and 20,410.60

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Solution

The fourth proportional to 37,177, 51,304.74 and 20,410.60 is: 28,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,177 : 51,304.74 = 20,410.60 : x
  2. Step 2: Convert to fraction form
    37,177/51,304.74 = 20,410.60/x
  3. Step 3: Cross multiply
    37,177x = 51,304.74 × 20,410.60
  4. Step 4: Simplify right side
    37,177x = 1,047,160,526.24
  5. Step 5: Solve for x
    x = 1,047,160,526.24/37,177
  6. Step 6: Final answer
    x = 28,166.89

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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.