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Finding the Fourth Proportional to 30,414.80, 45,638 and 23,017.12

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Solution

The fourth proportional to 30,414.80, 45,638 and 23,017.12 is: 34,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.80 : 45,638 = 23,017.12 : x
  2. Step 2: Convert to fraction form
    30,414.80/45,638 = 23,017.12/x
  3. Step 3: Cross multiply
    30,414.80x = 45,638 × 23,017.12
  4. Step 4: Simplify right side
    30,414.80x = 1,050,455,322.56
  5. Step 5: Solve for x
    x = 1,050,455,322.56/30,414.80
  6. Step 6: Final answer
    x = 34,537.64

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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.