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Finding the Fourth Proportional to 51,810.30, 77,713.56 and 16,749

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Solution

The fourth proportional to 51,810.30, 77,713.56 and 16,749 is: 25,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,810.30 : 77,713.56 = 16,749 : x
  2. Step 2: Convert to fraction form
    51,810.30/77,713.56 = 16,749/x
  3. Step 3: Cross multiply
    51,810.30x = 77,713.56 × 16,749
  4. Step 4: Simplify right side
    51,810.30x = 1,301,624,416.44
  5. Step 5: Solve for x
    x = 1,301,624,416.44/51,810.30
  6. Step 6: Final answer
    x = 25,122.89

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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.