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Finding the Fourth Proportional to 35,583.76, 49,104.80 and 19,668

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Solution

The fourth proportional to 35,583.76, 49,104.80 and 19,668 is: 27,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,583.76 : 49,104.80 = 19,668 : x
  2. Step 2: Convert to fraction form
    35,583.76/49,104.80 = 19,668/x
  3. Step 3: Cross multiply
    35,583.76x = 49,104.80 × 19,668
  4. Step 4: Simplify right side
    35,583.76x = 965,793,206.40
  5. Step 5: Solve for x
    x = 965,793,206.40/35,583.76
  6. Step 6: Final answer
    x = 27,141.40

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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.