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Finding the Fourth Proportional to 23,114.49, 34,671.81 and 5,584.32

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Solution

The fourth proportional to 23,114.49, 34,671.81 and 5,584.32 is: 8,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.49 : 34,671.81 = 5,584.32 : x
  2. Step 2: Convert to fraction form
    23,114.49/34,671.81 = 5,584.32/x
  3. Step 3: Cross multiply
    23,114.49x = 34,671.81 × 5,584.32
  4. Step 4: Simplify right side
    23,114.49x = 193,618,482.02
  5. Step 5: Solve for x
    x = 193,618,482.02/23,114.49
  6. Step 6: Final answer
    x = 8,376.50

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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.