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Finding the Fourth Proportional to 72,807.84, 100,467 and 40,976.16

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Solution

The fourth proportional to 72,807.84, 100,467 and 40,976.16 is: 56,542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,807.84 : 100,467 = 40,976.16 : x
  2. Step 2: Convert to fraction form
    72,807.84/100,467 = 40,976.16/x
  3. Step 3: Cross multiply
    72,807.84x = 100,467 × 40,976.16
  4. Step 4: Simplify right side
    72,807.84x = 4,116,751,866.72
  5. Step 5: Solve for x
    x = 4,116,751,866.72/72,807.84
  6. Step 6: Final answer
    x = 56,542.70

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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.