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Finding the Fourth Proportional to 97,129.26, 145,694.16 and 27,008.64

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Solution

The fourth proportional to 97,129.26, 145,694.16 and 27,008.64 is: 40,513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,129.26 : 145,694.16 = 27,008.64 : x
  2. Step 2: Convert to fraction form
    97,129.26/145,694.16 = 27,008.64/x
  3. Step 3: Cross multiply
    97,129.26x = 145,694.16 × 27,008.64
  4. Step 4: Simplify right side
    97,129.26x = 3,935,001,117.54
  5. Step 5: Solve for x
    x = 3,935,001,117.54/97,129.26
  6. Step 6: Final answer
    x = 40,513.04

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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.