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Finding the Fourth Proportional to 50,384.31, 75,576.47 and 15,324

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Solution

The fourth proportional to 50,384.31, 75,576.47 and 15,324 is: 22,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,384.31 : 75,576.47 = 15,324 : x
  2. Step 2: Convert to fraction form
    50,384.31/75,576.47 = 15,324/x
  3. Step 3: Cross multiply
    50,384.31x = 75,576.47 × 15,324
  4. Step 4: Simplify right side
    50,384.31x = 1,158,133,749.66
  5. Step 5: Solve for x
    x = 1,158,133,749.66/50,384.31
  6. Step 6: Final answer
    x = 22,986.00

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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.