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Finding the Fourth Proportional to 48,745.84, 73,072.32 and 19,153.84

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Solution

The fourth proportional to 48,745.84, 73,072.32 and 19,153.84 is: 28,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,745.84 : 73,072.32 = 19,153.84 : x
  2. Step 2: Convert to fraction form
    48,745.84/73,072.32 = 19,153.84/x
  3. Step 3: Cross multiply
    48,745.84x = 73,072.32 × 19,153.84
  4. Step 4: Simplify right side
    48,745.84x = 1,399,615,525.71
  5. Step 5: Solve for x
    x = 1,399,615,525.71/48,745.84
  6. Step 6: Final answer
    x = 28,712.51

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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.