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Finding the Fourth Proportional to 32,414.31, 44,719.70 and 21,787.11

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Solution

The fourth proportional to 32,414.31, 44,719.70 and 21,787.11 is: 30,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.31 : 44,719.70 = 21,787.11 : x
  2. Step 2: Convert to fraction form
    32,414.31/44,719.70 = 21,787.11/x
  3. Step 3: Cross multiply
    32,414.31x = 44,719.70 × 21,787.11
  4. Step 4: Simplify right side
    32,414.31x = 974,312,914.13
  5. Step 5: Solve for x
    x = 974,312,914.13/32,414.31
  6. Step 6: Final answer
    x = 30,058.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.