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Finding the Fourth Proportional to 33,028, 49,548.48 and 14,560

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Solution

The fourth proportional to 33,028, 49,548.48 and 14,560 is: 21,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,028 : 49,548.48 = 14,560 : x
  2. Step 2: Convert to fraction form
    33,028/49,548.48 = 14,560/x
  3. Step 3: Cross multiply
    33,028x = 49,548.48 × 14,560
  4. Step 4: Simplify right side
    33,028x = 721,425,868.80
  5. Step 5: Solve for x
    x = 721,425,868.80/33,028
  6. Step 6: Final answer
    x = 21,842.86

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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.