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Finding the Fourth Proportional to 30,162.06, 45,235.80 and 12,645

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Solution

The fourth proportional to 30,162.06, 45,235.80 and 12,645 is: 18,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,162.06 : 45,235.80 = 12,645 : x
  2. Step 2: Convert to fraction form
    30,162.06/45,235.80 = 12,645/x
  3. Step 3: Cross multiply
    30,162.06x = 45,235.80 × 12,645
  4. Step 4: Simplify right side
    30,162.06x = 572,006,691
  5. Step 5: Solve for x
    x = 572,006,691/30,162.06
  6. Step 6: Final answer
    x = 18,964.44

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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.