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Finding the Fourth Proportional to 29,980.76, 44,998.80 and 15,200

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Solution

The fourth proportional to 29,980.76, 44,998.80 and 15,200 is: 22,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980.76 : 44,998.80 = 15,200 : x
  2. Step 2: Convert to fraction form
    29,980.76/44,998.80 = 15,200/x
  3. Step 3: Cross multiply
    29,980.76x = 44,998.80 × 15,200
  4. Step 4: Simplify right side
    29,980.76x = 683,981,760
  5. Step 5: Solve for x
    x = 683,981,760/29,980.76
  6. Step 6: Final answer
    x = 22,814.02

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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.