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Finding the Fourth Proportional to 30,329.19, 41,854.23 and 16,900.38

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Solution

The fourth proportional to 30,329.19, 41,854.23 and 16,900.38 is: 23,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,329.19 : 41,854.23 = 16,900.38 : x
  2. Step 2: Convert to fraction form
    30,329.19/41,854.23 = 16,900.38/x
  3. Step 3: Cross multiply
    30,329.19x = 41,854.23 × 16,900.38
  4. Step 4: Simplify right side
    30,329.19x = 707,352,391.61
  5. Step 5: Solve for x
    x = 707,352,391.61/30,329.19
  6. Step 6: Final answer
    x = 23,322.50

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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.