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Finding the Fourth Proportional to 89,852.83, 134,739.89 and 33,653.51

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Solution

The fourth proportional to 89,852.83, 134,739.89 and 33,653.51 is: 50,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,852.83 : 134,739.89 = 33,653.51 : x
  2. Step 2: Convert to fraction form
    89,852.83/134,739.89 = 33,653.51/x
  3. Step 3: Cross multiply
    89,852.83x = 134,739.89 × 33,653.51
  4. Step 4: Simplify right side
    89,852.83x = 4,534,470,025.02
  5. Step 5: Solve for x
    x = 4,534,470,025.02/89,852.83
  6. Step 6: Final answer
    x = 50,465.52

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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.