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Finding the Fourth Proportional to 30,524.64, 45,812.88 and 21,780.96

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Solution

The fourth proportional to 30,524.64, 45,812.88 and 21,780.96 is: 32,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524.64 : 45,812.88 = 21,780.96 : x
  2. Step 2: Convert to fraction form
    30,524.64/45,812.88 = 21,780.96/x
  3. Step 3: Cross multiply
    30,524.64x = 45,812.88 × 21,780.96
  4. Step 4: Simplify right side
    30,524.64x = 997,848,506.76
  5. Step 5: Solve for x
    x = 997,848,506.76/30,524.64
  6. Step 6: Final answer
    x = 32,689.94

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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.