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Finding the Fourth Proportional to 45,577.96, 68,361.48 and 12,295.48

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Solution

The fourth proportional to 45,577.96, 68,361.48 and 12,295.48 is: 18,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,577.96 : 68,361.48 = 12,295.48 : x
  2. Step 2: Convert to fraction form
    45,577.96/68,361.48 = 12,295.48/x
  3. Step 3: Cross multiply
    45,577.96x = 68,361.48 × 12,295.48
  4. Step 4: Simplify right side
    45,577.96x = 840,537,210.11
  5. Step 5: Solve for x
    x = 840,537,210.11/45,577.96
  6. Step 6: Final answer
    x = 18,441.75

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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.