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Finding the Fourth Proportional to 32,290.96, 48,416.63 and 12,546.47

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Solution

The fourth proportional to 32,290.96, 48,416.63 and 12,546.47 is: 18,812.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,290.96 : 48,416.63 = 12,546.47 : x
  2. Step 2: Convert to fraction form
    32,290.96/48,416.63 = 12,546.47/x
  3. Step 3: Cross multiply
    32,290.96x = 48,416.63 × 12,546.47
  4. Step 4: Simplify right side
    32,290.96x = 607,457,795.80
  5. Step 5: Solve for x
    x = 607,457,795.80/32,290.96
  6. Step 6: Final answer
    x = 18,812.01

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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.