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Finding the Fourth Proportional to 30,583.23, 45,879.06 and 9,524.78

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Solution

The fourth proportional to 30,583.23, 45,879.06 and 9,524.78 is: 14,288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,583.23 : 45,879.06 = 9,524.78 : x
  2. Step 2: Convert to fraction form
    30,583.23/45,879.06 = 9,524.78/x
  3. Step 3: Cross multiply
    30,583.23x = 45,879.06 × 9,524.78
  4. Step 4: Simplify right side
    30,583.23x = 436,987,953.11
  5. Step 5: Solve for x
    x = 436,987,953.11/30,583.23
  6. Step 6: Final answer
    x = 14,288.48

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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.