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Finding the Fourth Proportional to 30,241.32, 45,264.90 and 16,166.16

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Solution

The fourth proportional to 30,241.32, 45,264.90 and 16,166.16 is: 24,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,241.32 : 45,264.90 = 16,166.16 : x
  2. Step 2: Convert to fraction form
    30,241.32/45,264.90 = 16,166.16/x
  3. Step 3: Cross multiply
    30,241.32x = 45,264.90 × 16,166.16
  4. Step 4: Simplify right side
    30,241.32x = 731,759,615.78
  5. Step 5: Solve for x
    x = 731,759,615.78/30,241.32
  6. Step 6: Final answer
    x = 24,197.34

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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.