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Finding the Fourth Proportional to 175,991.54, 263,963.84 and 49,641.93

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Solution

The fourth proportional to 175,991.54, 263,963.84 and 49,641.93 is: 74,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,991.54 : 263,963.84 = 49,641.93 : x
  2. Step 2: Convert to fraction form
    175,991.54/263,963.84 = 49,641.93/x
  3. Step 3: Cross multiply
    175,991.54x = 263,963.84 × 49,641.93
  4. Step 4: Simplify right side
    175,991.54x = 13,103,674,219.60
  5. Step 5: Solve for x
    x = 13,103,674,219.60/175,991.54
  6. Step 6: Final answer
    x = 74,456.28

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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.