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Finding the Fourth Proportional to 70,354.50, 97,089.22 and 40,546.50

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Solution

The fourth proportional to 70,354.50, 97,089.22 and 40,546.50 is: 55,954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,354.50 : 97,089.22 = 40,546.50 : x
  2. Step 2: Convert to fraction form
    70,354.50/97,089.22 = 40,546.50/x
  3. Step 3: Cross multiply
    70,354.50x = 97,089.22 × 40,546.50
  4. Step 4: Simplify right side
    70,354.50x = 3,936,628,058.73
  5. Step 5: Solve for x
    x = 3,936,628,058.73/70,354.50
  6. Step 6: Final answer
    x = 55,954.18

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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.