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Finding the Fourth Proportional to 115,003, 172,504.50 and 31,897

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Solution

The fourth proportional to 115,003, 172,504.50 and 31,897 is: 47,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,003 : 172,504.50 = 31,897 : x
  2. Step 2: Convert to fraction form
    115,003/172,504.50 = 31,897/x
  3. Step 3: Cross multiply
    115,003x = 172,504.50 × 31,897
  4. Step 4: Simplify right side
    115,003x = 5,502,376,036.50
  5. Step 5: Solve for x
    x = 5,502,376,036.50/115,003
  6. Step 6: Final answer
    x = 47,845.50

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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.