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Finding the Fourth Proportional to 91,361.96, 137,053.92 and 32,185.40

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Solution

The fourth proportional to 91,361.96, 137,053.92 and 32,185.40 is: 48,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,361.96 : 137,053.92 = 32,185.40 : x
  2. Step 2: Convert to fraction form
    91,361.96/137,053.92 = 32,185.40/x
  3. Step 3: Cross multiply
    91,361.96x = 137,053.92 × 32,185.40
  4. Step 4: Simplify right side
    91,361.96x = 4,411,135,236.77
  5. Step 5: Solve for x
    x = 4,411,135,236.77/91,361.96
  6. Step 6: Final answer
    x = 48,281.97

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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.