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Finding the Fourth Proportional to 30,876.66, 42,609.98 and 16,729.47

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Solution

The fourth proportional to 30,876.66, 42,609.98 and 16,729.47 is: 23,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.66 : 42,609.98 = 16,729.47 : x
  2. Step 2: Convert to fraction form
    30,876.66/42,609.98 = 16,729.47/x
  3. Step 3: Cross multiply
    30,876.66x = 42,609.98 × 16,729.47
  4. Step 4: Simplify right side
    30,876.66x = 712,842,423.93
  5. Step 5: Solve for x
    x = 712,842,423.93/30,876.66
  6. Step 6: Final answer
    x = 23,086.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.