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Finding the Fourth Proportional to 30,178.34, 41,645.31 and 16,748.90

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Solution

The fourth proportional to 30,178.34, 41,645.31 and 16,748.90 is: 23,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178.34 : 41,645.31 = 16,748.90 : x
  2. Step 2: Convert to fraction form
    30,178.34/41,645.31 = 16,748.90/x
  3. Step 3: Cross multiply
    30,178.34x = 41,645.31 × 16,748.90
  4. Step 4: Simplify right side
    30,178.34x = 697,513,132.66
  5. Step 5: Solve for x
    x = 697,513,132.66/30,178.34
  6. Step 6: Final answer
    x = 23,113.04

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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.