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Finding the Fourth Proportional to 30,475.84, 45,697.32 and 13,826.78

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Solution

The fourth proportional to 30,475.84, 45,697.32 and 13,826.78 is: 20,732.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.84 : 45,697.32 = 13,826.78 : x
  2. Step 2: Convert to fraction form
    30,475.84/45,697.32 = 13,826.78/x
  3. Step 3: Cross multiply
    30,475.84x = 45,697.32 × 13,826.78
  4. Step 4: Simplify right side
    30,475.84x = 631,846,904.47
  5. Step 5: Solve for x
    x = 631,846,904.47/30,475.84
  6. Step 6: Final answer
    x = 20,732.72

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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.