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Finding the Fourth Proportional to 114,003, 171,009.36 and 30,897

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Solution

The fourth proportional to 114,003, 171,009.36 and 30,897 is: 46,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,003 : 171,009.36 = 30,897 : x
  2. Step 2: Convert to fraction form
    114,003/171,009.36 = 30,897/x
  3. Step 3: Cross multiply
    114,003x = 171,009.36 × 30,897
  4. Step 4: Simplify right side
    114,003x = 5,283,676,195.92
  5. Step 5: Solve for x
    x = 5,283,676,195.92/114,003
  6. Step 6: Final answer
    x = 46,346.82

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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.