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Finding the Fourth Proportional to 30,194.16, 45,273.96 and 12,649.20

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Solution

The fourth proportional to 30,194.16, 45,273.96 and 12,649.20 is: 18,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.16 : 45,273.96 = 12,649.20 : x
  2. Step 2: Convert to fraction form
    30,194.16/45,273.96 = 12,649.20/x
  3. Step 3: Cross multiply
    30,194.16x = 45,273.96 × 12,649.20
  4. Step 4: Simplify right side
    30,194.16x = 572,679,374.83
  5. Step 5: Solve for x
    x = 572,679,374.83/30,194.16
  6. Step 6: Final answer
    x = 18,966.56

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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.