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Finding the Fourth Proportional to 30,409.72, 45,551 and 24,454.40

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Solution

The fourth proportional to 30,409.72, 45,551 and 24,454.40 is: 36,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.72 : 45,551 = 24,454.40 : x
  2. Step 2: Convert to fraction form
    30,409.72/45,551 = 24,454.40/x
  3. Step 3: Cross multiply
    30,409.72x = 45,551 × 24,454.40
  4. Step 4: Simplify right side
    30,409.72x = 1,113,922,374.40
  5. Step 5: Solve for x
    x = 1,113,922,374.40/30,409.72
  6. Step 6: Final answer
    x = 36,630.47

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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.