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Finding the Fourth Proportional to 30,442.75, 45,677.81 and 19,346.56

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Solution

The fourth proportional to 30,442.75, 45,677.81 and 19,346.56 is: 29,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.75 : 45,677.81 = 19,346.56 : x
  2. Step 2: Convert to fraction form
    30,442.75/45,677.81 = 19,346.56/x
  3. Step 3: Cross multiply
    30,442.75x = 45,677.81 × 19,346.56
  4. Step 4: Simplify right side
    30,442.75x = 883,708,395.10
  5. Step 5: Solve for x
    x = 883,708,395.10/30,442.75
  6. Step 6: Final answer
    x = 29,028.53

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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.