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Finding the Fourth Proportional to 30,146.94, 45,214.26 and 11,420.52

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Solution

The fourth proportional to 30,146.94, 45,214.26 and 11,420.52 is: 17,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.94 : 45,214.26 = 11,420.52 : x
  2. Step 2: Convert to fraction form
    30,146.94/45,214.26 = 11,420.52/x
  3. Step 3: Cross multiply
    30,146.94x = 45,214.26 × 11,420.52
  4. Step 4: Simplify right side
    30,146.94x = 516,370,360.62
  5. Step 5: Solve for x
    x = 516,370,360.62/30,146.94
  6. Step 6: Final answer
    x = 17,128.45

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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.