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Finding the Fourth Proportional to 101,373.88, 152,051.10 and 31,234.36

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Solution

The fourth proportional to 101,373.88, 152,051.10 and 31,234.36 is: 46,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,373.88 : 152,051.10 = 31,234.36 : x
  2. Step 2: Convert to fraction form
    101,373.88/152,051.10 = 31,234.36/x
  3. Step 3: Cross multiply
    101,373.88x = 152,051.10 × 31,234.36
  4. Step 4: Simplify right side
    101,373.88x = 4,749,218,795.80
  5. Step 5: Solve for x
    x = 4,749,218,795.80/101,373.88
  6. Step 6: Final answer
    x = 46,848.55

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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.