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Finding the Fourth Proportional to 30,647.46, 45,960.24 and 10,651.80

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Solution

The fourth proportional to 30,647.46, 45,960.24 and 10,651.80 is: 15,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647.46 : 45,960.24 = 10,651.80 : x
  2. Step 2: Convert to fraction form
    30,647.46/45,960.24 = 10,651.80/x
  3. Step 3: Cross multiply
    30,647.46x = 45,960.24 × 10,651.80
  4. Step 4: Simplify right side
    30,647.46x = 489,559,284.43
  5. Step 5: Solve for x
    x = 489,559,284.43/30,647.46
  6. Step 6: Final answer
    x = 15,973.89

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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.