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Finding the Fourth Proportional to 52,299, 72,172.62 and 29,947.32

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Solution

The fourth proportional to 52,299, 72,172.62 and 29,947.32 is: 41,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,299 : 72,172.62 = 29,947.32 : x
  2. Step 2: Convert to fraction form
    52,299/72,172.62 = 29,947.32/x
  3. Step 3: Cross multiply
    52,299x = 72,172.62 × 29,947.32
  4. Step 4: Simplify right side
    52,299x = 2,161,376,546.38
  5. Step 5: Solve for x
    x = 2,161,376,546.38/52,299
  6. Step 6: Final answer
    x = 41,327.30

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1.5x scale

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.