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Finding the Fourth Proportional to 72,005.80, 108,057.30 and 40,415.80

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Solution

The fourth proportional to 72,005.80, 108,057.30 and 40,415.80 is: 60,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,005.80 : 108,057.30 = 40,415.80 : x
  2. Step 2: Convert to fraction form
    72,005.80/108,057.30 = 40,415.80/x
  3. Step 3: Cross multiply
    72,005.80x = 108,057.30 × 40,415.80
  4. Step 4: Simplify right side
    72,005.80x = 4,367,222,225.34
  5. Step 5: Solve for x
    x = 4,367,222,225.34/72,005.80
  6. Step 6: Final answer
    x = 60,650.98

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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.