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Finding the Fourth Proportional to 98,126.62, 147,163.50 and 27,032.32

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Solution

The fourth proportional to 98,126.62, 147,163.50 and 27,032.32 is: 40,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,126.62 : 147,163.50 = 27,032.32 : x
  2. Step 2: Convert to fraction form
    98,126.62/147,163.50 = 27,032.32/x
  3. Step 3: Cross multiply
    98,126.62x = 147,163.50 × 27,032.32
  4. Step 4: Simplify right side
    98,126.62x = 3,978,170,824.32
  5. Step 5: Solve for x
    x = 3,978,170,824.32/98,126.62
  6. Step 6: Final answer
    x = 40,541.20

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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.