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Finding the Fourth Proportional to 51,044.94, 76,597.29 and 21,460.50

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Solution

The fourth proportional to 51,044.94, 76,597.29 and 21,460.50 is: 32,203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,044.94 : 76,597.29 = 21,460.50 : x
  2. Step 2: Convert to fraction form
    51,044.94/76,597.29 = 21,460.50/x
  3. Step 3: Cross multiply
    51,044.94x = 76,597.29 × 21,460.50
  4. Step 4: Simplify right side
    51,044.94x = 1,643,816,142.05
  5. Step 5: Solve for x
    x = 1,643,816,142.05/51,044.94
  6. Step 6: Final answer
    x = 32,203.31

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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.