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Finding the Fourth Proportional to 32,005.40, 47,967.60 and 12,257.60

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Solution

The fourth proportional to 32,005.40, 47,967.60 and 12,257.60 is: 18,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.40 : 47,967.60 = 12,257.60 : x
  2. Step 2: Convert to fraction form
    32,005.40/47,967.60 = 12,257.60/x
  3. Step 3: Cross multiply
    32,005.40x = 47,967.60 × 12,257.60
  4. Step 4: Simplify right side
    32,005.40x = 587,967,653.76
  5. Step 5: Solve for x
    x = 587,967,653.76/32,005.40
  6. Step 6: Final answer
    x = 18,370.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.