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Finding the Fourth Proportional to 71,901.15, 107,812.80 and 32,412.03

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Solution

The fourth proportional to 71,901.15, 107,812.80 and 32,412.03 is: 48,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,901.15 : 107,812.80 = 32,412.03 : x
  2. Step 2: Convert to fraction form
    71,901.15/107,812.80 = 32,412.03/x
  3. Step 3: Cross multiply
    71,901.15x = 107,812.80 × 32,412.03
  4. Step 4: Simplify right side
    71,901.15x = 3,494,431,707.98
  5. Step 5: Solve for x
    x = 3,494,431,707.98/71,901.15
  6. Step 6: Final answer
    x = 48,600.50

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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.