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Finding the Fourth Proportional to 118,964.48, 178,473.12 and 35,852.48

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Solution

The fourth proportional to 118,964.48, 178,473.12 and 35,852.48 is: 53,786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,964.48 : 178,473.12 = 35,852.48 : x
  2. Step 2: Convert to fraction form
    118,964.48/178,473.12 = 35,852.48/x
  3. Step 3: Cross multiply
    118,964.48x = 178,473.12 × 35,852.48
  4. Step 4: Simplify right side
    118,964.48x = 6,398,703,965.34
  5. Step 5: Solve for x
    x = 6,398,703,965.34/118,964.48
  6. Step 6: Final answer
    x = 53,786.68

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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.