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Finding the Fourth Proportional to 32,460.46, 48,715.32 and 21,905.50

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Solution

The fourth proportional to 32,460.46, 48,715.32 and 21,905.50 is: 32,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,460.46 : 48,715.32 = 21,905.50 : x
  2. Step 2: Convert to fraction form
    32,460.46/48,715.32 = 21,905.50/x
  3. Step 3: Cross multiply
    32,460.46x = 48,715.32 × 21,905.50
  4. Step 4: Simplify right side
    32,460.46x = 1,067,133,442.26
  5. Step 5: Solve for x
    x = 1,067,133,442.26/32,460.46
  6. Step 6: Final answer
    x = 32,874.87

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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.