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Finding the Fourth Proportional to 30,040.41, 41,411.56 and 23,646.52

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Solution

The fourth proportional to 30,040.41, 41,411.56 and 23,646.52 is: 32,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,040.41 : 41,411.56 = 23,646.52 : x
  2. Step 2: Convert to fraction form
    30,040.41/41,411.56 = 23,646.52/x
  3. Step 3: Cross multiply
    30,040.41x = 41,411.56 × 23,646.52
  4. Step 4: Simplify right side
    30,040.41x = 979,238,956.48
  5. Step 5: Solve for x
    x = 979,238,956.48/30,040.41
  6. Step 6: Final answer
    x = 32,597.39

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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.