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Finding the Fourth Proportional to 28,143.72, 42,230.16 and 20,416.32

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Solution

The fourth proportional to 28,143.72, 42,230.16 and 20,416.32 is: 30,635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,143.72 : 42,230.16 = 20,416.32 : x
  2. Step 2: Convert to fraction form
    28,143.72/42,230.16 = 20,416.32/x
  3. Step 3: Cross multiply
    28,143.72x = 42,230.16 × 20,416.32
  4. Step 4: Simplify right side
    28,143.72x = 862,184,460.21
  5. Step 5: Solve for x
    x = 862,184,460.21/28,143.72
  6. Step 6: Final answer
    x = 30,635.06

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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.