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Finding the Fourth Proportional to 83,609.58, 115,383.17 and 47,802.94

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Solution

The fourth proportional to 83,609.58, 115,383.17 and 47,802.94 is: 65,969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,609.58 : 115,383.17 = 47,802.94 : x
  2. Step 2: Convert to fraction form
    83,609.58/115,383.17 = 47,802.94/x
  3. Step 3: Cross multiply
    83,609.58x = 115,383.17 × 47,802.94
  4. Step 4: Simplify right side
    83,609.58x = 5,515,654,752.52
  5. Step 5: Solve for x
    x = 5,515,654,752.52/83,609.58
  6. Step 6: Final answer
    x = 65,969.17

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1.5x scale

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.