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Finding the Fourth Proportional to 30,574.56, 45,875 and 16,544.45

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Solution

The fourth proportional to 30,574.56, 45,875 and 16,544.45 is: 24,823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.56 : 45,875 = 16,544.45 : x
  2. Step 2: Convert to fraction form
    30,574.56/45,875 = 16,544.45/x
  3. Step 3: Cross multiply
    30,574.56x = 45,875 × 16,544.45
  4. Step 4: Simplify right side
    30,574.56x = 758,976,414.38
  5. Step 5: Solve for x
    x = 758,976,414.38/30,574.56
  6. Step 6: Final answer
    x = 24,823.79

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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.