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Finding the Fourth Proportional to 114,004, 171,010.86 and 30,898

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Solution

The fourth proportional to 114,004, 171,010.86 and 30,898 is: 46,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,004 : 171,010.86 = 30,898 : x
  2. Step 2: Convert to fraction form
    114,004/171,010.86 = 30,898/x
  3. Step 3: Cross multiply
    114,004x = 171,010.86 × 30,898
  4. Step 4: Simplify right side
    114,004x = 5,283,893,552.28
  5. Step 5: Solve for x
    x = 5,283,893,552.28/114,004
  6. Step 6: Final answer
    x = 46,348.32

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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.