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Finding the Fourth Proportional to 72,516.43, 100,072.25 and 40,685.25

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Solution

The fourth proportional to 72,516.43, 100,072.25 and 40,685.25 is: 56,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,516.43 : 100,072.25 = 40,685.25 : x
  2. Step 2: Convert to fraction form
    72,516.43/100,072.25 = 40,685.25/x
  3. Step 3: Cross multiply
    72,516.43x = 100,072.25 × 40,685.25
  4. Step 4: Simplify right side
    72,516.43x = 4,071,464,509.31
  5. Step 5: Solve for x
    x = 4,071,464,509.31/72,516.43
  6. Step 6: Final answer
    x = 56,145.41

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Why These Related Problems?

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