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Finding the Fourth Proportional to 30,721.74, 46,082.58 and 9,663.63

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Solution

The fourth proportional to 30,721.74, 46,082.58 and 9,663.63 is: 14,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,721.74 : 46,082.58 = 9,663.63 : x
  2. Step 2: Convert to fraction form
    30,721.74/46,082.58 = 9,663.63/x
  3. Step 3: Cross multiply
    30,721.74x = 46,082.58 × 9,663.63
  4. Step 4: Simplify right side
    30,721.74x = 445,325,002.57
  5. Step 5: Solve for x
    x = 445,325,002.57/30,721.74
  6. Step 6: Final answer
    x = 14,495.44

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Similar ratio
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1.5x scale

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.