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Finding the Fourth Proportional to 30,338.81, 45,528.72 and 10,617.54

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Solution

The fourth proportional to 30,338.81, 45,528.72 and 10,617.54 is: 15,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338.81 : 45,528.72 = 10,617.54 : x
  2. Step 2: Convert to fraction form
    30,338.81/45,528.72 = 10,617.54/x
  3. Step 3: Cross multiply
    30,338.81x = 45,528.72 × 10,617.54
  4. Step 4: Simplify right side
    30,338.81x = 483,403,005.75
  5. Step 5: Solve for x
    x = 483,403,005.75/30,338.81
  6. Step 6: Final answer
    x = 15,933.49

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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.