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Finding the Fourth Proportional to 30,178.70, 45,273.10 and 12,649.86

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Solution

The fourth proportional to 30,178.70, 45,273.10 and 12,649.86 is: 18,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178.70 : 45,273.10 = 12,649.86 : x
  2. Step 2: Convert to fraction form
    30,178.70/45,273.10 = 12,649.86/x
  3. Step 3: Cross multiply
    30,178.70x = 45,273.10 × 12,649.86
  4. Step 4: Simplify right side
    30,178.70x = 572,698,376.77
  5. Step 5: Solve for x
    x = 572,698,376.77/30,178.70
  6. Step 6: Final answer
    x = 18,976.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.