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Finding the Fourth Proportional to 30,262.50, 41,740.32 and 23,338.08

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Solution

The fourth proportional to 30,262.50, 41,740.32 and 23,338.08 is: 32,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,262.50 : 41,740.32 = 23,338.08 : x
  2. Step 2: Convert to fraction form
    30,262.50/41,740.32 = 23,338.08/x
  3. Step 3: Cross multiply
    30,262.50x = 41,740.32 × 23,338.08
  4. Step 4: Simplify right side
    30,262.50x = 974,138,927.39
  5. Step 5: Solve for x
    x = 974,138,927.39/30,262.50
  6. Step 6: Final answer
    x = 32,189.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.