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Finding the Fourth Proportional to 51,302.78, 76,964.10 and 19,710.50

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Solution

The fourth proportional to 51,302.78, 76,964.10 and 19,710.50 is: 29,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,302.78 : 76,964.10 = 19,710.50 : x
  2. Step 2: Convert to fraction form
    51,302.78/76,964.10 = 19,710.50/x
  3. Step 3: Cross multiply
    51,302.78x = 76,964.10 × 19,710.50
  4. Step 4: Simplify right side
    51,302.78x = 1,517,000,893.05
  5. Step 5: Solve for x
    x = 1,517,000,893.05/51,302.78
  6. Step 6: Final answer
    x = 29,569.57

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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.