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Finding the Fourth Proportional to 48,662.96, 72,960.72 and 19,083.78

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Solution

The fourth proportional to 48,662.96, 72,960.72 and 19,083.78 is: 28,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,662.96 : 72,960.72 = 19,083.78 : x
  2. Step 2: Convert to fraction form
    48,662.96/72,960.72 = 19,083.78/x
  3. Step 3: Cross multiply
    48,662.96x = 72,960.72 × 19,083.78
  4. Step 4: Simplify right side
    48,662.96x = 1,392,366,329.12
  5. Step 5: Solve for x
    x = 1,392,366,329.12/48,662.96
  6. Step 6: Final answer
    x = 28,612.45

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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.