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Finding the Fourth Proportional to 82,606.30, 123,914.16 and 23,437.32

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Solution

The fourth proportional to 82,606.30, 123,914.16 and 23,437.32 is: 35,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,606.30 : 123,914.16 = 23,437.32 : x
  2. Step 2: Convert to fraction form
    82,606.30/123,914.16 = 23,437.32/x
  3. Step 3: Cross multiply
    82,606.30x = 123,914.16 × 23,437.32
  4. Step 4: Simplify right side
    82,606.30x = 2,904,215,820.45
  5. Step 5: Solve for x
    x = 2,904,215,820.45/82,606.30
  6. Step 6: Final answer
    x = 35,157.32

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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.