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Finding the Fourth Proportional to 110,054.86, 165,055.71 and 45,978.38

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Solution

The fourth proportional to 110,054.86, 165,055.71 and 45,978.38 is: 68,956.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,054.86 : 165,055.71 = 45,978.38 : x
  2. Step 2: Convert to fraction form
    110,054.86/165,055.71 = 45,978.38/x
  3. Step 3: Cross multiply
    110,054.86x = 165,055.71 × 45,978.38
  4. Step 4: Simplify right side
    110,054.86x = 7,588,994,121.65
  5. Step 5: Solve for x
    x = 7,588,994,121.65/110,054.86
  6. Step 6: Final answer
    x = 68,956.46

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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.