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Finding the Fourth Proportional to 49,509.51, 74,259 and 13,969.95

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Solution

The fourth proportional to 49,509.51, 74,259 and 13,969.95 is: 20,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509.51 : 74,259 = 13,969.95 : x
  2. Step 2: Convert to fraction form
    49,509.51/74,259 = 13,969.95/x
  3. Step 3: Cross multiply
    49,509.51x = 74,259 × 13,969.95
  4. Step 4: Simplify right side
    49,509.51x = 1,037,394,517.05
  5. Step 5: Solve for x
    x = 1,037,394,517.05/49,509.51
  6. Step 6: Final answer
    x = 20,953.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.