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Finding the Fourth Proportional to 50,442.31, 75,674.67 and 15,384.70

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Solution

The fourth proportional to 50,442.31, 75,674.67 and 15,384.70 is: 23,080.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,442.31 : 75,674.67 = 15,384.70 : x
  2. Step 2: Convert to fraction form
    50,442.31/75,674.67 = 15,384.70/x
  3. Step 3: Cross multiply
    50,442.31x = 75,674.67 × 15,384.70
  4. Step 4: Simplify right side
    50,442.31x = 1,164,232,095.55
  5. Step 5: Solve for x
    x = 1,164,232,095.55/50,442.31
  6. Step 6: Final answer
    x = 23,080.47

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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.