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Finding the Fourth Proportional to 30,476.32, 45,704.64 and 9,694.96

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Solution

The fourth proportional to 30,476.32, 45,704.64 and 9,694.96 is: 14,539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.32 : 45,704.64 = 9,694.96 : x
  2. Step 2: Convert to fraction form
    30,476.32/45,704.64 = 9,694.96/x
  3. Step 3: Cross multiply
    30,476.32x = 45,704.64 × 9,694.96
  4. Step 4: Simplify right side
    30,476.32x = 443,104,656.61
  5. Step 5: Solve for x
    x = 443,104,656.61/30,476.32
  6. Step 6: Final answer
    x = 14,539.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.