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Finding the Fourth Proportional to 37,425.38, 51,647.20 and 20,430

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Solution

The fourth proportional to 37,425.38, 51,647.20 and 20,430 is: 28,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,425.38 : 51,647.20 = 20,430 : x
  2. Step 2: Convert to fraction form
    37,425.38/51,647.20 = 20,430/x
  3. Step 3: Cross multiply
    37,425.38x = 51,647.20 × 20,430
  4. Step 4: Simplify right side
    37,425.38x = 1,055,152,244.93
  5. Step 5: Solve for x
    x = 1,055,152,244.93/37,425.38
  6. Step 6: Final answer
    x = 28,193.50

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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.