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Finding the Fourth Proportional to 29,809.60, 41,103.52 and 19,040

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Solution

The fourth proportional to 29,809.60, 41,103.52 and 19,040 is: 26,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,809.60 : 41,103.52 = 19,040 : x
  2. Step 2: Convert to fraction form
    29,809.60/41,103.52 = 19,040/x
  3. Step 3: Cross multiply
    29,809.60x = 41,103.52 × 19,040
  4. Step 4: Simplify right side
    29,809.60x = 782,611,020.80
  5. Step 5: Solve for x
    x = 782,611,020.80/29,809.60
  6. Step 6: Final answer
    x = 26,253.66

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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.