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Finding the Fourth Proportional to 50,345, 75,470.31 and 17,041.76

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Solution

The fourth proportional to 50,345, 75,470.31 and 17,041.76 is: 25,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,345 : 75,470.31 = 17,041.76 : x
  2. Step 2: Convert to fraction form
    50,345/75,470.31 = 17,041.76/x
  3. Step 3: Cross multiply
    50,345x = 75,470.31 × 17,041.76
  4. Step 4: Simplify right side
    50,345x = 1,286,146,910.15
  5. Step 5: Solve for x
    x = 1,286,146,910.15/50,345
  6. Step 6: Final answer
    x = 25,546.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.