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Finding the Fourth Proportional to 30,338.10, 45,527.64 and 10,616.82

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Solution

The fourth proportional to 30,338.10, 45,527.64 and 10,616.82 is: 15,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338.10 : 45,527.64 = 10,616.82 : x
  2. Step 2: Convert to fraction form
    30,338.10/45,527.64 = 10,616.82/x
  3. Step 3: Cross multiply
    30,338.10x = 45,527.64 × 10,616.82
  4. Step 4: Simplify right side
    30,338.10x = 483,358,705.82
  5. Step 5: Solve for x
    x = 483,358,705.82/30,338.10
  6. Step 6: Final answer
    x = 15,932.40

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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.