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Finding the Fourth Proportional to 73,852.14, 110,814.34 and 45,764.68

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Solution

The fourth proportional to 73,852.14, 110,814.34 and 45,764.68 is: 68,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,852.14 : 110,814.34 = 45,764.68 : x
  2. Step 2: Convert to fraction form
    73,852.14/110,814.34 = 45,764.68/x
  3. Step 3: Cross multiply
    73,852.14x = 110,814.34 × 45,764.68
  4. Step 4: Simplify right side
    73,852.14x = 5,071,382,809.51
  5. Step 5: Solve for x
    x = 5,071,382,809.51/73,852.14
  6. Step 6: Final answer
    x = 68,669.41

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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.