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Finding the Fourth Proportional to 30,394.34, 45,597.41 and 11,673

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Solution

The fourth proportional to 30,394.34, 45,597.41 and 11,673 is: 17,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,394.34 : 45,597.41 = 11,673 : x
  2. Step 2: Convert to fraction form
    30,394.34/45,597.41 = 11,673/x
  3. Step 3: Cross multiply
    30,394.34x = 45,597.41 × 11,673
  4. Step 4: Simplify right side
    30,394.34x = 532,258,566.93
  5. Step 5: Solve for x
    x = 532,258,566.93/30,394.34
  6. Step 6: Final answer
    x = 17,511.77

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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.