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Finding the Fourth Proportional to 40,969.50, 61,464 and 13,267.50

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Solution

The fourth proportional to 40,969.50, 61,464 and 13,267.50 is: 19,904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,969.50 : 61,464 = 13,267.50 : x
  2. Step 2: Convert to fraction form
    40,969.50/61,464 = 13,267.50/x
  3. Step 3: Cross multiply
    40,969.50x = 61,464 × 13,267.50
  4. Step 4: Simplify right side
    40,969.50x = 815,473,620
  5. Step 5: Solve for x
    x = 815,473,620/40,969.50
  6. Step 6: Final answer
    x = 19,904.41

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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.