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Finding the Fourth Proportional to 76,172.16, 114,272.16 and 23,578.08

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Solution

The fourth proportional to 76,172.16, 114,272.16 and 23,578.08 is: 35,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,172.16 : 114,272.16 = 23,578.08 : x
  2. Step 2: Convert to fraction form
    76,172.16/114,272.16 = 23,578.08/x
  3. Step 3: Cross multiply
    76,172.16x = 114,272.16 × 23,578.08
  4. Step 4: Simplify right side
    76,172.16x = 2,694,318,130.25
  5. Step 5: Solve for x
    x = 2,694,318,130.25/76,172.16
  6. Step 6: Final answer
    x = 35,371.43

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1.5x scale

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.