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Finding the Fourth Proportional to 37,224.74, 51,373.30 and 20,461.22

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Solution

The fourth proportional to 37,224.74, 51,373.30 and 20,461.22 is: 28,238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,224.74 : 51,373.30 = 20,461.22 : x
  2. Step 2: Convert to fraction form
    37,224.74/51,373.30 = 20,461.22/x
  3. Step 3: Cross multiply
    37,224.74x = 51,373.30 × 20,461.22
  4. Step 4: Simplify right side
    37,224.74x = 1,051,160,393.43
  5. Step 5: Solve for x
    x = 1,051,160,393.43/37,224.74
  6. Step 6: Final answer
    x = 28,238.22

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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.