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Finding the Fourth Proportional to 30,670.25, 42,311.16 and 18,731.35

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Solution

The fourth proportional to 30,670.25, 42,311.16 and 18,731.35 is: 25,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.25 : 42,311.16 = 18,731.35 : x
  2. Step 2: Convert to fraction form
    30,670.25/42,311.16 = 18,731.35/x
  3. Step 3: Cross multiply
    30,670.25x = 42,311.16 × 18,731.35
  4. Step 4: Simplify right side
    30,670.25x = 792,545,199.75
  5. Step 5: Solve for x
    x = 792,545,199.75/30,670.25
  6. Step 6: Final answer
    x = 25,840.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.