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Finding the Fourth Proportional to 30,308.10, 45,460.32 and 13,661.38

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Solution

The fourth proportional to 30,308.10, 45,460.32 and 13,661.38 is: 20,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,308.10 : 45,460.32 = 13,661.38 : x
  2. Step 2: Convert to fraction form
    30,308.10/45,460.32 = 13,661.38/x
  3. Step 3: Cross multiply
    30,308.10x = 45,460.32 × 13,661.38
  4. Step 4: Simplify right side
    30,308.10x = 621,050,706.44
  5. Step 5: Solve for x
    x = 621,050,706.44/30,308.10
  6. Step 6: Final answer
    x = 20,491.25

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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.