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Finding the Fourth Proportional to 30,581.80, 45,879.06 and 9,523.36

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Solution

The fourth proportional to 30,581.80, 45,879.06 and 9,523.36 is: 14,287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,581.80 : 45,879.06 = 9,523.36 : x
  2. Step 2: Convert to fraction form
    30,581.80/45,879.06 = 9,523.36/x
  3. Step 3: Cross multiply
    30,581.80x = 45,879.06 × 9,523.36
  4. Step 4: Simplify right side
    30,581.80x = 436,922,804.84
  5. Step 5: Solve for x
    x = 436,922,804.84/30,581.80
  6. Step 6: Final answer
    x = 14,287.02

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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.