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Finding the Fourth Proportional to 84,054.60, 126,093.24 and 27,875.16

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Solution

The fourth proportional to 84,054.60, 126,093.24 and 27,875.16 is: 41,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,054.60 : 126,093.24 = 27,875.16 : x
  2. Step 2: Convert to fraction form
    84,054.60/126,093.24 = 27,875.16/x
  3. Step 3: Cross multiply
    84,054.60x = 126,093.24 × 27,875.16
  4. Step 4: Simplify right side
    84,054.60x = 3,514,869,239.92
  5. Step 5: Solve for x
    x = 3,514,869,239.92/84,054.60
  6. Step 6: Final answer
    x = 41,816.50

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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.