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Finding the Fourth Proportional to 83,920.34, 115,809.80 and 46,194.59

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Solution

The fourth proportional to 83,920.34, 115,809.80 and 46,194.59 is: 63,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,920.34 : 115,809.80 = 46,194.59 : x
  2. Step 2: Convert to fraction form
    83,920.34/115,809.80 = 46,194.59/x
  3. Step 3: Cross multiply
    83,920.34x = 115,809.80 × 46,194.59
  4. Step 4: Simplify right side
    83,920.34x = 5,349,785,418.96
  5. Step 5: Solve for x
    x = 5,349,785,418.96/83,920.34
  6. Step 6: Final answer
    x = 63,748.38

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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.