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Finding the Fourth Proportional to 30,824.32, 46,204.08 and 15,005.92

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Solution

The fourth proportional to 30,824.32, 46,204.08 and 15,005.92 is: 22,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824.32 : 46,204.08 = 15,005.92 : x
  2. Step 2: Convert to fraction form
    30,824.32/46,204.08 = 15,005.92/x
  3. Step 3: Cross multiply
    30,824.32x = 46,204.08 × 15,005.92
  4. Step 4: Simplify right side
    30,824.32x = 693,334,728.15
  5. Step 5: Solve for x
    x = 693,334,728.15/30,824.32
  6. Step 6: Final answer
    x = 22,493.11

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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.