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Finding the Fourth Proportional to 102,506.88, 153,776.40 and 27,629.96

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Solution

The fourth proportional to 102,506.88, 153,776.40 and 27,629.96 is: 41,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,506.88 : 153,776.40 = 27,629.96 : x
  2. Step 2: Convert to fraction form
    102,506.88/153,776.40 = 27,629.96/x
  3. Step 3: Cross multiply
    102,506.88x = 153,776.40 × 27,629.96
  4. Step 4: Simplify right side
    102,506.88x = 4,248,835,780.94
  5. Step 5: Solve for x
    x = 4,248,835,780.94/102,506.88
  6. Step 6: Final answer
    x = 41,449.27

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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.