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Finding the Fourth Proportional to 32,139.48, 48,196.80 and 13,428.35

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Solution

The fourth proportional to 32,139.48, 48,196.80 and 13,428.35 is: 20,137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,139.48 : 48,196.80 = 13,428.35 : x
  2. Step 2: Convert to fraction form
    32,139.48/48,196.80 = 13,428.35/x
  3. Step 3: Cross multiply
    32,139.48x = 48,196.80 × 13,428.35
  4. Step 4: Simplify right side
    32,139.48x = 647,203,258.30
  5. Step 5: Solve for x
    x = 647,203,258.30/32,139.48
  6. Step 6: Final answer
    x = 20,137.33

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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.