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Finding the Fourth Proportional to 118,960.48, 178,467.12 and 35,848.48

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Solution

The fourth proportional to 118,960.48, 178,467.12 and 35,848.48 is: 53,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,960.48 : 178,467.12 = 35,848.48 : x
  2. Step 2: Convert to fraction form
    118,960.48/178,467.12 = 35,848.48/x
  3. Step 3: Cross multiply
    118,960.48x = 178,467.12 × 35,848.48
  4. Step 4: Simplify right side
    118,960.48x = 6,397,774,981.98
  5. Step 5: Solve for x
    x = 6,397,774,981.98/118,960.48
  6. Step 6: Final answer
    x = 53,780.68

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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.