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Finding the Fourth Proportional to 175,993.54, 263,966.84 and 49,643.94

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Solution

The fourth proportional to 175,993.54, 263,966.84 and 49,643.94 is: 74,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,993.54 : 263,966.84 = 49,643.94 : x
  2. Step 2: Convert to fraction form
    175,993.54/263,966.84 = 49,643.94/x
  3. Step 3: Cross multiply
    175,993.54x = 263,966.84 × 49,643.94
  4. Step 4: Simplify right side
    175,993.54x = 13,104,353,966.95
  5. Step 5: Solve for x
    x = 13,104,353,966.95/175,993.54
  6. Step 6: Final answer
    x = 74,459.29

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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.