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Finding the Fourth Proportional to 76,846, 115,241.24 and 32,476.18

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Solution

The fourth proportional to 76,846, 115,241.24 and 32,476.18 is: 48,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,846 : 115,241.24 = 32,476.18 : x
  2. Step 2: Convert to fraction form
    76,846/115,241.24 = 32,476.18/x
  3. Step 3: Cross multiply
    76,846x = 115,241.24 × 32,476.18
  4. Step 4: Simplify right side
    76,846x = 3,742,595,253.66
  5. Step 5: Solve for x
    x = 3,742,595,253.66/76,846
  6. Step 6: Final answer
    x = 48,702.54

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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.