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Finding the Fourth Proportional to 30,217.32, 45,322.38 and 8,032.32

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Solution

The fourth proportional to 30,217.32, 45,322.38 and 8,032.32 is: 12,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,217.32 : 45,322.38 = 8,032.32 : x
  2. Step 2: Convert to fraction form
    30,217.32/45,322.38 = 8,032.32/x
  3. Step 3: Cross multiply
    30,217.32x = 45,322.38 × 8,032.32
  4. Step 4: Simplify right side
    30,217.32x = 364,043,859.32
  5. Step 5: Solve for x
    x = 364,043,859.32/30,217.32
  6. Step 6: Final answer
    x = 12,047.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.