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Finding the Fourth Proportional to 76,478.44, 114,751.98 and 41,377

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Solution

The fourth proportional to 76,478.44, 114,751.98 and 41,377 is: 62,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,478.44 : 114,751.98 = 41,377 : x
  2. Step 2: Convert to fraction form
    76,478.44/114,751.98 = 41,377/x
  3. Step 3: Cross multiply
    76,478.44x = 114,751.98 × 41,377
  4. Step 4: Simplify right side
    76,478.44x = 4,748,092,676.46
  5. Step 5: Solve for x
    x = 4,748,092,676.46/76,478.44
  6. Step 6: Final answer
    x = 62,084.07

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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.