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Finding the Fourth Proportional to 48,966, 73,454.22 and 15,674.16

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Solution

The fourth proportional to 48,966, 73,454.22 and 15,674.16 is: 23,512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,966 : 73,454.22 = 15,674.16 : x
  2. Step 2: Convert to fraction form
    48,966/73,454.22 = 15,674.16/x
  3. Step 3: Cross multiply
    48,966x = 73,454.22 × 15,674.16
  4. Step 4: Simplify right side
    48,966x = 1,151,333,196.96
  5. Step 5: Solve for x
    x = 1,151,333,196.96/48,966
  6. Step 6: Final answer
    x = 23,512.91

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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.