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Finding the Fourth Proportional to 30,588.44, 45,882.86 and 8,404.16

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Solution

The fourth proportional to 30,588.44, 45,882.86 and 8,404.16 is: 12,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588.44 : 45,882.86 = 8,404.16 : x
  2. Step 2: Convert to fraction form
    30,588.44/45,882.86 = 8,404.16/x
  3. Step 3: Cross multiply
    30,588.44x = 45,882.86 × 8,404.16
  4. Step 4: Simplify right side
    30,588.44x = 385,606,625.26
  5. Step 5: Solve for x
    x = 385,606,625.26/30,588.44
  6. Step 6: Final answer
    x = 12,606.29

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