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Finding the Fourth Proportional to 30,077.68, 45,113.28 and 15,296

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Solution

The fourth proportional to 30,077.68, 45,113.28 and 15,296 is: 22,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077.68 : 45,113.28 = 15,296 : x
  2. Step 2: Convert to fraction form
    30,077.68/45,113.28 = 15,296/x
  3. Step 3: Cross multiply
    30,077.68x = 45,113.28 × 15,296
  4. Step 4: Simplify right side
    30,077.68x = 690,052,730.88
  5. Step 5: Solve for x
    x = 690,052,730.88/30,077.68
  6. Step 6: Final answer
    x = 22,942.35

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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.