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Finding the Fourth Proportional to 72,906.57, 109,359.84 and 17,502.57

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Solution

The fourth proportional to 72,906.57, 109,359.84 and 17,502.57 is: 26,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,906.57 : 109,359.84 = 17,502.57 : x
  2. Step 2: Convert to fraction form
    72,906.57/109,359.84 = 17,502.57/x
  3. Step 3: Cross multiply
    72,906.57x = 109,359.84 × 17,502.57
  4. Step 4: Simplify right side
    72,906.57x = 1,914,078,254.79
  5. Step 5: Solve for x
    x = 1,914,078,254.79/72,906.57
  6. Step 6: Final answer
    x = 26,253.85

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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.