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Finding the Fourth Proportional to 30,659.24, 45,964.05 and 9,588.44

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Solution

The fourth proportional to 30,659.24, 45,964.05 and 9,588.44 is: 14,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,659.24 : 45,964.05 = 9,588.44 : x
  2. Step 2: Convert to fraction form
    30,659.24/45,964.05 = 9,588.44/x
  3. Step 3: Cross multiply
    30,659.24x = 45,964.05 × 9,588.44
  4. Step 4: Simplify right side
    30,659.24x = 440,723,305.76
  5. Step 5: Solve for x
    x = 440,723,305.76/30,659.24
  6. Step 6: Final answer
    x = 14,374.90

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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.