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Finding the Fourth Proportional to 74,649.92, 111,978.96 and 30,270.08

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Solution

The fourth proportional to 74,649.92, 111,978.96 and 30,270.08 is: 45,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,649.92 : 111,978.96 = 30,270.08 : x
  2. Step 2: Convert to fraction form
    74,649.92/111,978.96 = 30,270.08/x
  3. Step 3: Cross multiply
    74,649.92x = 111,978.96 × 30,270.08
  4. Step 4: Simplify right side
    74,649.92x = 3,389,612,077.52
  5. Step 5: Solve for x
    x = 3,389,612,077.52/74,649.92
  6. Step 6: Final answer
    x = 45,406.77

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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.