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Finding the Fourth Proportional to 48,788.50, 73,182.93 and 11,852.50

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Solution

The fourth proportional to 48,788.50, 73,182.93 and 11,852.50 is: 17,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,788.50 : 73,182.93 = 11,852.50 : x
  2. Step 2: Convert to fraction form
    48,788.50/73,182.93 = 11,852.50/x
  3. Step 3: Cross multiply
    48,788.50x = 73,182.93 × 11,852.50
  4. Step 4: Simplify right side
    48,788.50x = 867,400,677.83
  5. Step 5: Solve for x
    x = 867,400,677.83/48,788.50
  6. Step 6: Final answer
    x = 17,778.79

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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.