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Finding the Fourth Proportional to 33,076.76, 45,646.24 and 17,969.53

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Solution

The fourth proportional to 33,076.76, 45,646.24 and 17,969.53 is: 24,798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,076.76 : 45,646.24 = 17,969.53 : x
  2. Step 2: Convert to fraction form
    33,076.76/45,646.24 = 17,969.53/x
  3. Step 3: Cross multiply
    33,076.76x = 45,646.24 × 17,969.53
  4. Step 4: Simplify right side
    33,076.76x = 820,241,479.07
  5. Step 5: Solve for x
    x = 820,241,479.07/33,076.76
  6. Step 6: Final answer
    x = 24,798.12

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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.