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Finding the Fourth Proportional to 43,174.92, 59,586.84 and 24,312

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Solution

The fourth proportional to 43,174.92, 59,586.84 and 24,312 is: 33,553.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,174.92 : 59,586.84 = 24,312 : x
  2. Step 2: Convert to fraction form
    43,174.92/59,586.84 = 24,312/x
  3. Step 3: Cross multiply
    43,174.92x = 59,586.84 × 24,312
  4. Step 4: Simplify right side
    43,174.92x = 1,448,675,254.08
  5. Step 5: Solve for x
    x = 1,448,675,254.08/43,174.92
  6. Step 6: Final answer
    x = 33,553.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.