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Finding the Fourth Proportional to 30,010.57, 45,015.89 and 7,823.93

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Solution

The fourth proportional to 30,010.57, 45,015.89 and 7,823.93 is: 11,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,010.57 : 45,015.89 = 7,823.93 : x
  2. Step 2: Convert to fraction form
    30,010.57/45,015.89 = 7,823.93/x
  3. Step 3: Cross multiply
    30,010.57x = 45,015.89 × 7,823.93
  4. Step 4: Simplify right side
    30,010.57x = 352,200,908.05
  5. Step 5: Solve for x
    x = 352,200,908.05/30,010.57
  6. Step 6: Final answer
    x = 11,735.90

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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.