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Finding the Fourth Proportional to 58,140.70, 80,233.14 and 32,647.27

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Solution

The fourth proportional to 58,140.70, 80,233.14 and 32,647.27 is: 45,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,140.70 : 80,233.14 = 32,647.27 : x
  2. Step 2: Convert to fraction form
    58,140.70/80,233.14 = 32,647.27/x
  3. Step 3: Cross multiply
    58,140.70x = 80,233.14 × 32,647.27
  4. Step 4: Simplify right side
    58,140.70x = 2,619,392,984.53
  5. Step 5: Solve for x
    x = 2,619,392,984.53/58,140.70
  6. Step 6: Final answer
    x = 45,052.66

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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.