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Finding the Fourth Proportional to 76,042.68, 114,064.20 and 44,856

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Solution

The fourth proportional to 76,042.68, 114,064.20 and 44,856 is: 67,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,042.68 : 114,064.20 = 44,856 : x
  2. Step 2: Convert to fraction form
    76,042.68/114,064.20 = 44,856/x
  3. Step 3: Cross multiply
    76,042.68x = 114,064.20 × 44,856
  4. Step 4: Simplify right side
    76,042.68x = 5,116,463,755.20
  5. Step 5: Solve for x
    x = 5,116,463,755.20/76,042.68
  6. Step 6: Final answer
    x = 67,284.11

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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.