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Finding the Fourth Proportional to 73,105.81, 100,902.04 and 46,284.08

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Solution

The fourth proportional to 73,105.81, 100,902.04 and 46,284.08 is: 63,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,105.81 : 100,902.04 = 46,284.08 : x
  2. Step 2: Convert to fraction form
    73,105.81/100,902.04 = 46,284.08/x
  3. Step 3: Cross multiply
    73,105.81x = 100,902.04 × 46,284.08
  4. Step 4: Simplify right side
    73,105.81x = 4,670,157,471.30
  5. Step 5: Solve for x
    x = 4,670,157,471.30/73,105.81
  6. Step 6: Final answer
    x = 63,882.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.