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Finding the Fourth Proportional to 30,530.34, 45,802.08 and 9,469.96

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Solution

The fourth proportional to 30,530.34, 45,802.08 and 9,469.96 is: 14,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.34 : 45,802.08 = 9,469.96 : x
  2. Step 2: Convert to fraction form
    30,530.34/45,802.08 = 9,469.96/x
  3. Step 3: Cross multiply
    30,530.34x = 45,802.08 × 9,469.96
  4. Step 4: Simplify right side
    30,530.34x = 433,743,786.52
  5. Step 5: Solve for x
    x = 433,743,786.52/30,530.34
  6. Step 6: Final answer
    x = 14,206.98

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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.