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Finding the Fourth Proportional to 172,304.66, 258,427.82 and 47,616.50

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Solution

The fourth proportional to 172,304.66, 258,427.82 and 47,616.50 is: 71,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,304.66 : 258,427.82 = 47,616.50 : x
  2. Step 2: Convert to fraction form
    172,304.66/258,427.82 = 47,616.50/x
  3. Step 3: Cross multiply
    172,304.66x = 258,427.82 × 47,616.50
  4. Step 4: Simplify right side
    172,304.66x = 12,305,428,291.03
  5. Step 5: Solve for x
    x = 12,305,428,291.03/172,304.66
  6. Step 6: Final answer
    x = 71,416.69

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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.