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Finding the Fourth Proportional to 57,506, 79,356.68 and 32,012.56

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Solution

The fourth proportional to 57,506, 79,356.68 and 32,012.56 is: 44,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,506 : 79,356.68 = 32,012.56 : x
  2. Step 2: Convert to fraction form
    57,506/79,356.68 = 32,012.56/x
  3. Step 3: Cross multiply
    57,506x = 79,356.68 × 32,012.56
  4. Step 4: Simplify right side
    57,506x = 2,540,410,479.90
  5. Step 5: Solve for x
    x = 2,540,410,479.90/57,506
  6. Step 6: Final answer
    x = 44,176.44

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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.