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Finding the Fourth Proportional to 97,649.80, 146,480.42 and 37,678.60

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Solution

The fourth proportional to 97,649.80, 146,480.42 and 37,678.60 is: 56,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,649.80 : 146,480.42 = 37,678.60 : x
  2. Step 2: Convert to fraction form
    97,649.80/146,480.42 = 37,678.60/x
  3. Step 3: Cross multiply
    97,649.80x = 146,480.42 × 37,678.60
  4. Step 4: Simplify right side
    97,649.80x = 5,519,177,218.37
  5. Step 5: Solve for x
    x = 5,519,177,218.37/97,649.80
  6. Step 6: Final answer
    x = 56,520.11

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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.