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Finding the Fourth Proportional to 118,407.96, 177,618.42 and 29,661.93

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Solution

The fourth proportional to 118,407.96, 177,618.42 and 29,661.93 is: 44,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,407.96 : 177,618.42 = 29,661.93 : x
  2. Step 2: Convert to fraction form
    118,407.96/177,618.42 = 29,661.93/x
  3. Step 3: Cross multiply
    118,407.96x = 177,618.42 × 29,661.93
  4. Step 4: Simplify right side
    118,407.96x = 5,268,505,140.75
  5. Step 5: Solve for x
    x = 5,268,505,140.75/118,407.96
  6. Step 6: Final answer
    x = 44,494.52

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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.