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Finding the Fourth Proportional to 32,072.20, 48,118.02 and 15,427.50

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Solution

The fourth proportional to 32,072.20, 48,118.02 and 15,427.50 is: 23,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,072.20 : 48,118.02 = 15,427.50 : x
  2. Step 2: Convert to fraction form
    32,072.20/48,118.02 = 15,427.50/x
  3. Step 3: Cross multiply
    32,072.20x = 48,118.02 × 15,427.50
  4. Step 4: Simplify right side
    32,072.20x = 742,340,753.55
  5. Step 5: Solve for x
    x = 742,340,753.55/32,072.20
  6. Step 6: Final answer
    x = 23,145.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.