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Finding the Fourth Proportional to 72,628.20, 100,223.78 and 42,415.24

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Solution

The fourth proportional to 72,628.20, 100,223.78 and 42,415.24 is: 58,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,628.20 : 100,223.78 = 42,415.24 : x
  2. Step 2: Convert to fraction form
    72,628.20/100,223.78 = 42,415.24/x
  3. Step 3: Cross multiply
    72,628.20x = 100,223.78 × 42,415.24
  4. Step 4: Simplify right side
    72,628.20x = 4,251,015,682.41
  5. Step 5: Solve for x
    x = 4,251,015,682.41/72,628.20
  6. Step 6: Final answer
    x = 58,531.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.