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Finding the Fourth Proportional to 30,621.34, 45,933.73 and 9,564.29

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Solution

The fourth proportional to 30,621.34, 45,933.73 and 9,564.29 is: 14,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,621.34 : 45,933.73 = 9,564.29 : x
  2. Step 2: Convert to fraction form
    30,621.34/45,933.73 = 9,564.29/x
  3. Step 3: Cross multiply
    30,621.34x = 45,933.73 × 9,564.29
  4. Step 4: Simplify right side
    30,621.34x = 439,323,514.50
  5. Step 5: Solve for x
    x = 439,323,514.50/30,621.34
  6. Step 6: Final answer
    x = 14,346.97

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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.