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Finding the Fourth Proportional to 76,646.56, 114,980.64 and 32,245.60

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Solution

The fourth proportional to 76,646.56, 114,980.64 and 32,245.60 is: 48,372.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,646.56 : 114,980.64 = 32,245.60 : x
  2. Step 2: Convert to fraction form
    76,646.56/114,980.64 = 32,245.60/x
  3. Step 3: Cross multiply
    76,646.56x = 114,980.64 × 32,245.60
  4. Step 4: Simplify right side
    76,646.56x = 3,707,619,725.18
  5. Step 5: Solve for x
    x = 3,707,619,725.18/76,646.56
  6. Step 6: Final answer
    x = 48,372.94

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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.