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Finding the Fourth Proportional to 30,321.90, 45,463.29 and 12,787.02

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Solution

The fourth proportional to 30,321.90, 45,463.29 and 12,787.02 is: 19,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,321.90 : 45,463.29 = 12,787.02 : x
  2. Step 2: Convert to fraction form
    30,321.90/45,463.29 = 12,787.02/x
  3. Step 3: Cross multiply
    30,321.90x = 45,463.29 × 12,787.02
  4. Step 4: Simplify right side
    30,321.90x = 581,339,998.50
  5. Step 5: Solve for x
    x = 581,339,998.50/30,321.90
  6. Step 6: Final answer
    x = 19,172.28

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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.