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Finding the Fourth Proportional to 77,668.98, 116,504.75 and 22,264.98

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Solution

The fourth proportional to 77,668.98, 116,504.75 and 22,264.98 is: 33,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,668.98 : 116,504.75 = 22,264.98 : x
  2. Step 2: Convert to fraction form
    77,668.98/116,504.75 = 22,264.98/x
  3. Step 3: Cross multiply
    77,668.98x = 116,504.75 × 22,264.98
  4. Step 4: Simplify right side
    77,668.98x = 2,593,975,928.66
  5. Step 5: Solve for x
    x = 2,593,975,928.66/77,668.98
  6. Step 6: Final answer
    x = 33,397.84

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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.