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Finding the Fourth Proportional to 51,029.50, 76,548.66 and 14,093.50

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Solution

The fourth proportional to 51,029.50, 76,548.66 and 14,093.50 is: 21,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,029.50 : 76,548.66 = 14,093.50 : x
  2. Step 2: Convert to fraction form
    51,029.50/76,548.66 = 14,093.50/x
  3. Step 3: Cross multiply
    51,029.50x = 76,548.66 × 14,093.50
  4. Step 4: Simplify right side
    51,029.50x = 1,078,838,539.71
  5. Step 5: Solve for x
    x = 1,078,838,539.71/51,029.50
  6. Step 6: Final answer
    x = 21,141.47

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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.