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Finding the Fourth Proportional to 30,770.50, 45,914.23 and 28,889.68

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Solution

The fourth proportional to 30,770.50, 45,914.23 and 28,889.68 is: 43,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.50 : 45,914.23 = 28,889.68 : x
  2. Step 2: Convert to fraction form
    30,770.50/45,914.23 = 28,889.68/x
  3. Step 3: Cross multiply
    30,770.50x = 45,914.23 × 28,889.68
  4. Step 4: Simplify right side
    30,770.50x = 1,326,447,484.37
  5. Step 5: Solve for x
    x = 1,326,447,484.37/30,770.50
  6. Step 6: Final answer
    x = 43,107.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.