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Finding the Fourth Proportional to 32,374.64, 48,580.47 and 17,584.85

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Solution

The fourth proportional to 32,374.64, 48,580.47 and 17,584.85 is: 26,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,374.64 : 48,580.47 = 17,584.85 : x
  2. Step 2: Convert to fraction form
    32,374.64/48,580.47 = 17,584.85/x
  3. Step 3: Cross multiply
    32,374.64x = 48,580.47 × 17,584.85
  4. Step 4: Simplify right side
    32,374.64x = 854,280,399.33
  5. Step 5: Solve for x
    x = 854,280,399.33/32,374.64
  6. Step 6: Final answer
    x = 26,387.33

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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.