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Finding the Fourth Proportional to 30,966.50, 42,733.98 and 16,819.34

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Solution

The fourth proportional to 30,966.50, 42,733.98 and 16,819.34 is: 23,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,966.50 : 42,733.98 = 16,819.34 : x
  2. Step 2: Convert to fraction form
    30,966.50/42,733.98 = 16,819.34/x
  3. Step 3: Cross multiply
    30,966.50x = 42,733.98 × 16,819.34
  4. Step 4: Simplify right side
    30,966.50x = 718,757,339.17
  5. Step 5: Solve for x
    x = 718,757,339.17/30,966.50
  6. Step 6: Final answer
    x = 23,210.80

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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.