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Finding the Fourth Proportional to 30,682.52, 46,023.64 and 9,624.20

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Solution

The fourth proportional to 30,682.52, 46,023.64 and 9,624.20 is: 14,436.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.52 : 46,023.64 = 9,624.20 : x
  2. Step 2: Convert to fraction form
    30,682.52/46,023.64 = 9,624.20/x
  3. Step 3: Cross multiply
    30,682.52x = 46,023.64 × 9,624.20
  4. Step 4: Simplify right side
    30,682.52x = 442,940,716.09
  5. Step 5: Solve for x
    x = 442,940,716.09/30,682.52
  6. Step 6: Final answer
    x = 14,436.26

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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.