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Finding the Fourth Proportional to 77,649.33, 107,159.86 and 43,668.52

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Solution

The fourth proportional to 77,649.33, 107,159.86 and 43,668.52 is: 60,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,649.33 : 107,159.86 = 43,668.52 : x
  2. Step 2: Convert to fraction form
    77,649.33/107,159.86 = 43,668.52/x
  3. Step 3: Cross multiply
    77,649.33x = 107,159.86 × 43,668.52
  4. Step 4: Simplify right side
    77,649.33x = 4,679,512,276.29
  5. Step 5: Solve for x
    x = 4,679,512,276.29/77,649.33
  6. Step 6: Final answer
    x = 60,264.68

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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.