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Finding the Fourth Proportional to 56,876.72, 78,446.76 and 34,214

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Solution

The fourth proportional to 56,876.72, 78,446.76 and 34,214 is: 47,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,876.72 : 78,446.76 = 34,214 : x
  2. Step 2: Convert to fraction form
    56,876.72/78,446.76 = 34,214/x
  3. Step 3: Cross multiply
    56,876.72x = 78,446.76 × 34,214
  4. Step 4: Simplify right side
    56,876.72x = 2,683,977,446.64
  5. Step 5: Solve for x
    x = 2,683,977,446.64/56,876.72
  6. Step 6: Final answer
    x = 47,189.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.