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Finding the Fourth Proportional to 84,315.43, 116,345.34 and 50,317.63

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Solution

The fourth proportional to 84,315.43, 116,345.34 and 50,317.63 is: 69,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,315.43 : 116,345.34 = 50,317.63 : x
  2. Step 2: Convert to fraction form
    84,315.43/116,345.34 = 50,317.63/x
  3. Step 3: Cross multiply
    84,315.43x = 116,345.34 × 50,317.63
  4. Step 4: Simplify right side
    84,315.43x = 5,854,221,770.34
  5. Step 5: Solve for x
    x = 5,854,221,770.34/84,315.43
  6. Step 6: Final answer
    x = 69,432.39

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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.