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Finding the Fourth Proportional to 97,073.92, 145,610.94 and 26,953.24

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Solution

The fourth proportional to 97,073.92, 145,610.94 and 26,953.24 is: 40,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,073.92 : 145,610.94 = 26,953.24 : x
  2. Step 2: Convert to fraction form
    97,073.92/145,610.94 = 26,953.24/x
  3. Step 3: Cross multiply
    97,073.92x = 145,610.94 × 26,953.24
  4. Step 4: Simplify right side
    97,073.92x = 3,924,686,612.45
  5. Step 5: Solve for x
    x = 3,924,686,612.45/97,073.92
  6. Step 6: Final answer
    x = 40,429.88

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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.