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Finding the Fourth Proportional to 32,070.56, 48,116.23 and 15,428.44

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Solution

The fourth proportional to 32,070.56, 48,116.23 and 15,428.44 is: 23,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,070.56 : 48,116.23 = 15,428.44 : x
  2. Step 2: Convert to fraction form
    32,070.56/48,116.23 = 15,428.44/x
  3. Step 3: Cross multiply
    32,070.56x = 48,116.23 × 15,428.44
  4. Step 4: Simplify right side
    32,070.56x = 742,358,208.72
  5. Step 5: Solve for x
    x = 742,358,208.72/32,070.56
  6. Step 6: Final answer
    x = 23,147.65

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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.