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Finding the Fourth Proportional to 30,507.91, 45,769.04 and 9,731.41

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Solution

The fourth proportional to 30,507.91, 45,769.04 and 9,731.41 is: 14,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,507.91 : 45,769.04 = 9,731.41 : x
  2. Step 2: Convert to fraction form
    30,507.91/45,769.04 = 9,731.41/x
  3. Step 3: Cross multiply
    30,507.91x = 45,769.04 × 9,731.41
  4. Step 4: Simplify right side
    30,507.91x = 445,397,293.55
  5. Step 5: Solve for x
    x = 445,397,293.55/30,507.91
  6. Step 6: Final answer
    x = 14,599.40

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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.