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Finding the Fourth Proportional to 56,452.60, 77,914.74 and 32,575.96

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Solution

The fourth proportional to 56,452.60, 77,914.74 and 32,575.96 is: 44,960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,452.60 : 77,914.74 = 32,575.96 : x
  2. Step 2: Convert to fraction form
    56,452.60/77,914.74 = 32,575.96/x
  3. Step 3: Cross multiply
    56,452.60x = 77,914.74 × 32,575.96
  4. Step 4: Simplify right side
    56,452.60x = 2,538,147,453.65
  5. Step 5: Solve for x
    x = 2,538,147,453.65/56,452.60
  6. Step 6: Final answer
    x = 44,960.68

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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.