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Finding the Fourth Proportional to 107,843.70, 161,783.37 and 48,678.06

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Solution

The fourth proportional to 107,843.70, 161,783.37 and 48,678.06 is: 73,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,843.70 : 161,783.37 = 48,678.06 : x
  2. Step 2: Convert to fraction form
    107,843.70/161,783.37 = 48,678.06/x
  3. Step 3: Cross multiply
    107,843.70x = 161,783.37 × 48,678.06
  4. Step 4: Simplify right side
    107,843.70x = 7,875,300,591.86
  5. Step 5: Solve for x
    x = 7,875,300,591.86/107,843.70
  6. Step 6: Final answer
    x = 73,025.13

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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.