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Finding the Fourth Proportional to 32,102.63, 48,110.21 and 15,461.45

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Solution

The fourth proportional to 32,102.63, 48,110.21 and 15,461.45 is: 23,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.63 : 48,110.21 = 15,461.45 : x
  2. Step 2: Convert to fraction form
    32,102.63/48,110.21 = 15,461.45/x
  3. Step 3: Cross multiply
    32,102.63x = 48,110.21 × 15,461.45
  4. Step 4: Simplify right side
    32,102.63x = 743,853,529.10
  5. Step 5: Solve for x
    x = 743,853,529.10/32,102.63
  6. Step 6: Final answer
    x = 23,171.11

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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.