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Finding the Fourth Proportional to 30,083.41, 41,513.76 and 16,653.72

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Solution

The fourth proportional to 30,083.41, 41,513.76 and 16,653.72 is: 22,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,083.41 : 41,513.76 = 16,653.72 : x
  2. Step 2: Convert to fraction form
    30,083.41/41,513.76 = 16,653.72/x
  3. Step 3: Cross multiply
    30,083.41x = 41,513.76 × 16,653.72
  4. Step 4: Simplify right side
    30,083.41x = 691,358,535.19
  5. Step 5: Solve for x
    x = 691,358,535.19/30,083.41
  6. Step 6: Final answer
    x = 22,981.39

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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.