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Finding the Fourth Proportional to 84,954, 127,489.50 and 29,550

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Solution

The fourth proportional to 84,954, 127,489.50 and 29,550 is: 44,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,954 : 127,489.50 = 29,550 : x
  2. Step 2: Convert to fraction form
    84,954/127,489.50 = 29,550/x
  3. Step 3: Cross multiply
    84,954x = 127,489.50 × 29,550
  4. Step 4: Simplify right side
    84,954x = 3,767,314,725
  5. Step 5: Solve for x
    x = 3,767,314,725/84,954
  6. Step 6: Final answer
    x = 44,345.35

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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.