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Finding the Fourth Proportional to 30,782.66, 46,157.58 and 15,976.68

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Solution

The fourth proportional to 30,782.66, 46,157.58 and 15,976.68 is: 23,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.66 : 46,157.58 = 15,976.68 : x
  2. Step 2: Convert to fraction form
    30,782.66/46,157.58 = 15,976.68/x
  3. Step 3: Cross multiply
    30,782.66x = 46,157.58 × 15,976.68
  4. Step 4: Simplify right side
    30,782.66x = 737,444,885.23
  5. Step 5: Solve for x
    x = 737,444,885.23/30,782.66
  6. Step 6: Final answer
    x = 23,956.50

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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.