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Finding the Fourth Proportional to 115,003.50, 172,505.25 and 31,897.50

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Solution

The fourth proportional to 115,003.50, 172,505.25 and 31,897.50 is: 47,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,003.50 : 172,505.25 = 31,897.50 : x
  2. Step 2: Convert to fraction form
    115,003.50/172,505.25 = 31,897.50/x
  3. Step 3: Cross multiply
    115,003.50x = 172,505.25 × 31,897.50
  4. Step 4: Simplify right side
    115,003.50x = 5,502,486,211.88
  5. Step 5: Solve for x
    x = 5,502,486,211.88/115,003.50
  6. Step 6: Final answer
    x = 47,846.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.