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Finding the Fourth Proportional to 30,114.12, 45,179 and 11,394.28

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Solution

The fourth proportional to 30,114.12, 45,179 and 11,394.28 is: 17,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114.12 : 45,179 = 11,394.28 : x
  2. Step 2: Convert to fraction form
    30,114.12/45,179 = 11,394.28/x
  3. Step 3: Cross multiply
    30,114.12x = 45,179 × 11,394.28
  4. Step 4: Simplify right side
    30,114.12x = 514,782,176.12
  5. Step 5: Solve for x
    x = 514,782,176.12/30,114.12
  6. Step 6: Final answer
    x = 17,094.38

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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.