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Finding the Fourth Proportional to 30,010.08, 45,015.14 and 7,823.40

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Solution

The fourth proportional to 30,010.08, 45,015.14 and 7,823.40 is: 11,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,010.08 : 45,015.14 = 7,823.40 : x
  2. Step 2: Convert to fraction form
    30,010.08/45,015.14 = 7,823.40/x
  3. Step 3: Cross multiply
    30,010.08x = 45,015.14 × 7,823.40
  4. Step 4: Simplify right side
    30,010.08x = 352,171,446.28
  5. Step 5: Solve for x
    x = 352,171,446.28/30,010.08
  6. Step 6: Final answer
    x = 11,735.11

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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.