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Finding the Fourth Proportional to 51,311.38, 70,821.51 and 30,097.48

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Solution

The fourth proportional to 51,311.38, 70,821.51 and 30,097.48 is: 41,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,311.38 : 70,821.51 = 30,097.48 : x
  2. Step 2: Convert to fraction form
    51,311.38/70,821.51 = 30,097.48/x
  3. Step 3: Cross multiply
    51,311.38x = 70,821.51 × 30,097.48
  4. Step 4: Simplify right side
    51,311.38x = 2,131,548,980.79
  5. Step 5: Solve for x
    x = 2,131,548,980.79/51,311.38
  6. Step 6: Final answer
    x = 41,541.45

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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.