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Finding the Fourth Proportional to 30,602.80, 45,904.20 and 27,881.20

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Solution

The fourth proportional to 30,602.80, 45,904.20 and 27,881.20 is: 41,821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.80 : 45,904.20 = 27,881.20 : x
  2. Step 2: Convert to fraction form
    30,602.80/45,904.20 = 27,881.20/x
  3. Step 3: Cross multiply
    30,602.80x = 45,904.20 × 27,881.20
  4. Step 4: Simplify right side
    30,602.80x = 1,279,864,181.04
  5. Step 5: Solve for x
    x = 1,279,864,181.04/30,602.80
  6. Step 6: Final answer
    x = 41,821.80

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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.