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Finding the Fourth Proportional to 89,967.75, 124,166.43 and 52,242

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Solution

The fourth proportional to 89,967.75, 124,166.43 and 52,242 is: 72,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,967.75 : 124,166.43 = 52,242 : x
  2. Step 2: Convert to fraction form
    89,967.75/124,166.43 = 52,242/x
  3. Step 3: Cross multiply
    89,967.75x = 124,166.43 × 52,242
  4. Step 4: Simplify right side
    89,967.75x = 6,486,702,636.06
  5. Step 5: Solve for x
    x = 6,486,702,636.06/89,967.75
  6. Step 6: Final answer
    x = 72,100.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.