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Finding the Fourth Proportional to 30,754.98, 46,096.60 and 14,116.76

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Solution

The fourth proportional to 30,754.98, 46,096.60 and 14,116.76 is: 21,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,754.98 : 46,096.60 = 14,116.76 : x
  2. Step 2: Convert to fraction form
    30,754.98/46,096.60 = 14,116.76/x
  3. Step 3: Cross multiply
    30,754.98x = 46,096.60 × 14,116.76
  4. Step 4: Simplify right side
    30,754.98x = 650,734,639.02
  5. Step 5: Solve for x
    x = 650,734,639.02/30,754.98
  6. Step 6: Final answer
    x = 21,158.68

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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.