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Finding the Fourth Proportional to 51,491.56, 77,235.03 and 14,051.51

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Solution

The fourth proportional to 51,491.56, 77,235.03 and 14,051.51 is: 21,076.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,491.56 : 77,235.03 = 14,051.51 : x
  2. Step 2: Convert to fraction form
    51,491.56/77,235.03 = 14,051.51/x
  3. Step 3: Cross multiply
    51,491.56x = 77,235.03 × 14,051.51
  4. Step 4: Simplify right side
    51,491.56x = 1,085,268,796.40
  5. Step 5: Solve for x
    x = 1,085,268,796.40/51,491.56
  6. Step 6: Final answer
    x = 21,076.63

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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.