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Finding the Fourth Proportional to 83,394, 115,084.08 and 45,668.88

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Solution

The fourth proportional to 83,394, 115,084.08 and 45,668.88 is: 63,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,394 : 115,084.08 = 45,668.88 : x
  2. Step 2: Convert to fraction form
    83,394/115,084.08 = 45,668.88/x
  3. Step 3: Cross multiply
    83,394x = 115,084.08 × 45,668.88
  4. Step 4: Simplify right side
    83,394x = 5,255,761,039.43
  5. Step 5: Solve for x
    x = 5,255,761,039.43/83,394
  6. Step 6: Final answer
    x = 63,023.25

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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.