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Finding the Fourth Proportional to 32,428.90, 48,614.64 and 12,721.60

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Solution

The fourth proportional to 32,428.90, 48,614.64 and 12,721.60 is: 19,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,428.90 : 48,614.64 = 12,721.60 : x
  2. Step 2: Convert to fraction form
    32,428.90/48,614.64 = 12,721.60/x
  3. Step 3: Cross multiply
    32,428.90x = 48,614.64 × 12,721.60
  4. Step 4: Simplify right side
    32,428.90x = 618,456,004.22
  5. Step 5: Solve for x
    x = 618,456,004.22/32,428.90
  6. Step 6: Final answer
    x = 19,071.14

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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.