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Finding the Fourth Proportional to 172,507.52, 258,761.26 and 47,848.52

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Solution

The fourth proportional to 172,507.52, 258,761.26 and 47,848.52 is: 71,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,507.52 : 258,761.26 = 47,848.52 : x
  2. Step 2: Convert to fraction form
    172,507.52/258,761.26 = 47,848.52/x
  3. Step 3: Cross multiply
    172,507.52x = 258,761.26 × 47,848.52
  4. Step 4: Simplify right side
    172,507.52x = 12,381,343,324.34
  5. Step 5: Solve for x
    x = 12,381,343,324.34/172,507.52
  6. Step 6: Final answer
    x = 71,772.77

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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.