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Finding the Fourth Proportional to 57,262.50, 79,022.30 and 32,112

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Solution

The fourth proportional to 57,262.50, 79,022.30 and 32,112 is: 44,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,262.50 : 79,022.30 = 32,112 : x
  2. Step 2: Convert to fraction form
    57,262.50/79,022.30 = 32,112/x
  3. Step 3: Cross multiply
    57,262.50x = 79,022.30 × 32,112
  4. Step 4: Simplify right side
    57,262.50x = 2,537,563,937.04
  5. Step 5: Solve for x
    x = 2,537,563,937.04/57,262.50
  6. Step 6: Final answer
    x = 44,314.59

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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.