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Finding the Fourth Proportional to 49,671.79, 74,507.86 and 12,232.75

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Solution

The fourth proportional to 49,671.79, 74,507.86 and 12,232.75 is: 18,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,671.79 : 74,507.86 = 12,232.75 : x
  2. Step 2: Convert to fraction form
    49,671.79/74,507.86 = 12,232.75/x
  3. Step 3: Cross multiply
    49,671.79x = 74,507.86 × 12,232.75
  4. Step 4: Simplify right side
    49,671.79x = 911,435,807.56
  5. Step 5: Solve for x
    x = 911,435,807.56/49,671.79
  6. Step 6: Final answer
    x = 18,349.16

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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.