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Finding the Fourth Proportional to 102,548.22, 153,833.06 and 27,668.98

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Solution

The fourth proportional to 102,548.22, 153,833.06 and 27,668.98 is: 41,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,548.22 : 153,833.06 = 27,668.98 : x
  2. Step 2: Convert to fraction form
    102,548.22/153,833.06 = 27,668.98/x
  3. Step 3: Cross multiply
    102,548.22x = 153,833.06 × 27,668.98
  4. Step 4: Simplify right side
    102,548.22x = 4,256,403,860.48
  5. Step 5: Solve for x
    x = 4,256,403,860.48/102,548.22
  6. Step 6: Final answer
    x = 41,506.37

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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.