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Finding the Fourth Proportional to 30,216, 45,179.76 and 27,569.16

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Solution

The fourth proportional to 30,216, 45,179.76 and 27,569.16 is: 41,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,216 : 45,179.76 = 27,569.16 : x
  2. Step 2: Convert to fraction form
    30,216/45,179.76 = 27,569.16/x
  3. Step 3: Cross multiply
    30,216x = 45,179.76 × 27,569.16
  4. Step 4: Simplify right side
    30,216x = 1,245,568,032.20
  5. Step 5: Solve for x
    x = 1,245,568,032.20/30,216
  6. Step 6: Final answer
    x = 41,222.14

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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.