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Finding the Fourth Proportional to 118,984.48, 178,503.12 and 35,872.48

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Solution

The fourth proportional to 118,984.48, 178,503.12 and 35,872.48 is: 53,816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,984.48 : 178,503.12 = 35,872.48 : x
  2. Step 2: Convert to fraction form
    118,984.48/178,503.12 = 35,872.48/x
  3. Step 3: Cross multiply
    118,984.48x = 178,503.12 × 35,872.48
  4. Step 4: Simplify right side
    118,984.48x = 6,403,349,602.14
  5. Step 5: Solve for x
    x = 6,403,349,602.14/118,984.48
  6. Step 6: Final answer
    x = 53,816.68

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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.