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Finding the Fourth Proportional to 91,846.34, 137,641.21 and 49,635.42

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Solution

The fourth proportional to 91,846.34, 137,641.21 and 49,635.42 is: 74,383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,846.34 : 137,641.21 = 49,635.42 : x
  2. Step 2: Convert to fraction form
    91,846.34/137,641.21 = 49,635.42/x
  3. Step 3: Cross multiply
    91,846.34x = 137,641.21 × 49,635.42
  4. Step 4: Simplify right side
    91,846.34x = 6,831,878,627.42
  5. Step 5: Solve for x
    x = 6,831,878,627.42/91,846.34
  6. Step 6: Final answer
    x = 74,383.79

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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.