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Finding the Fourth Proportional to 43,132.96, 64,699.44 and 24,652

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Solution

The fourth proportional to 43,132.96, 64,699.44 and 24,652 is: 36,978

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,132.96 : 64,699.44 = 24,652 : x
  2. Step 2: Convert to fraction form
    43,132.96/64,699.44 = 24,652/x
  3. Step 3: Cross multiply
    43,132.96x = 64,699.44 × 24,652
  4. Step 4: Simplify right side
    43,132.96x = 1,594,970,594.88
  5. Step 5: Solve for x
    x = 1,594,970,594.88/43,132.96
  6. Step 6: Final answer
    x = 36,978

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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.