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Finding the Fourth Proportional to 30,338.34, 45,528.01 and 10,617.07

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Solution

The fourth proportional to 30,338.34, 45,528.01 and 10,617.07 is: 15,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338.34 : 45,528.01 = 10,617.07 : x
  2. Step 2: Convert to fraction form
    30,338.34/45,528.01 = 10,617.07/x
  3. Step 3: Cross multiply
    30,338.34x = 45,528.01 × 10,617.07
  4. Step 4: Simplify right side
    30,338.34x = 483,374,069.13
  5. Step 5: Solve for x
    x = 483,374,069.13/30,338.34
  6. Step 6: Final answer
    x = 15,932.78

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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.