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Finding the Fourth Proportional to 72,295.47, 108,443.97 and 30,181.95

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Solution

The fourth proportional to 72,295.47, 108,443.97 and 30,181.95 is: 45,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,295.47 : 108,443.97 = 30,181.95 : x
  2. Step 2: Convert to fraction form
    72,295.47/108,443.97 = 30,181.95/x
  3. Step 3: Cross multiply
    72,295.47x = 108,443.97 × 30,181.95
  4. Step 4: Simplify right side
    72,295.47x = 3,273,050,480.34
  5. Step 5: Solve for x
    x = 3,273,050,480.34/72,295.47
  6. Step 6: Final answer
    x = 45,273.24

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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.