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Finding the Fourth Proportional to 48,072, 72,107.98 and 23,096.46

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Solution

The fourth proportional to 48,072, 72,107.98 and 23,096.46 is: 34,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,072 : 72,107.98 = 23,096.46 : x
  2. Step 2: Convert to fraction form
    48,072/72,107.98 = 23,096.46/x
  3. Step 3: Cross multiply
    48,072x = 72,107.98 × 23,096.46
  4. Step 4: Simplify right side
    48,072x = 1,665,439,075.75
  5. Step 5: Solve for x
    x = 1,665,439,075.75/48,072
  6. Step 6: Final answer
    x = 34,644.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.