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Finding the Fourth Proportional to 72,982.64, 100,723.02 and 45,763.06

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Solution

The fourth proportional to 72,982.64, 100,723.02 and 45,763.06 is: 63,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,982.64 : 100,723.02 = 45,763.06 : x
  2. Step 2: Convert to fraction form
    72,982.64/100,723.02 = 45,763.06/x
  3. Step 3: Cross multiply
    72,982.64x = 100,723.02 × 45,763.06
  4. Step 4: Simplify right side
    72,982.64x = 4,609,393,104.03
  5. Step 5: Solve for x
    x = 4,609,393,104.03/72,982.64
  6. Step 6: Final answer
    x = 63,157.39

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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.