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Finding the Fourth Proportional to 30,602.14, 45,897.92 and 8,112.97

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Solution

The fourth proportional to 30,602.14, 45,897.92 and 8,112.97 is: 12,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.14 : 45,897.92 = 8,112.97 : x
  2. Step 2: Convert to fraction form
    30,602.14/45,897.92 = 8,112.97/x
  3. Step 3: Cross multiply
    30,602.14x = 45,897.92 × 8,112.97
  4. Step 4: Simplify right side
    30,602.14x = 372,368,323.14
  5. Step 5: Solve for x
    x = 372,368,323.14/30,602.14
  6. Step 6: Final answer
    x = 12,168.05

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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.