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Finding the Fourth Proportional to 32,190.41, 48,297.91 and 12,470.50

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Solution

The fourth proportional to 32,190.41, 48,297.91 and 12,470.50 is: 18,710.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,190.41 : 48,297.91 = 12,470.50 : x
  2. Step 2: Convert to fraction form
    32,190.41/48,297.91 = 12,470.50/x
  3. Step 3: Cross multiply
    32,190.41x = 48,297.91 × 12,470.50
  4. Step 4: Simplify right side
    32,190.41x = 602,299,086.66
  5. Step 5: Solve for x
    x = 602,299,086.66/32,190.41
  6. Step 6: Final answer
    x = 18,710.52

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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.