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Finding the Fourth Proportional to 29,591.42, 40,787.40 and 20,980.40

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Solution

The fourth proportional to 29,591.42, 40,787.40 and 20,980.40 is: 28,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,591.42 : 40,787.40 = 20,980.40 : x
  2. Step 2: Convert to fraction form
    29,591.42/40,787.40 = 20,980.40/x
  3. Step 3: Cross multiply
    29,591.42x = 40,787.40 × 20,980.40
  4. Step 4: Simplify right side
    29,591.42x = 855,735,966.96
  5. Step 5: Solve for x
    x = 855,735,966.96/29,591.42
  6. Step 6: Final answer
    x = 28,918.38

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Why These Related Problems?

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