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Finding the Fourth Proportional to 29,657.41, 40,971.67 and 19,472.60

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Solution

The fourth proportional to 29,657.41, 40,971.67 and 19,472.60 is: 26,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,657.41 : 40,971.67 = 19,472.60 : x
  2. Step 2: Convert to fraction form
    29,657.41/40,971.67 = 19,472.60/x
  3. Step 3: Cross multiply
    29,657.41x = 40,971.67 × 19,472.60
  4. Step 4: Simplify right side
    29,657.41x = 797,825,104.52
  5. Step 5: Solve for x
    x = 797,825,104.52/29,657.41
  6. Step 6: Final answer
    x = 26,901.38

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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.