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Finding the Fourth Proportional to 97,758.50, 134,906.82 and 53,046.50

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Solution

The fourth proportional to 97,758.50, 134,906.82 and 53,046.50 is: 73,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,758.50 : 134,906.82 = 53,046.50 : x
  2. Step 2: Convert to fraction form
    97,758.50/134,906.82 = 53,046.50/x
  3. Step 3: Cross multiply
    97,758.50x = 134,906.82 × 53,046.50
  4. Step 4: Simplify right side
    97,758.50x = 7,156,334,627.13
  5. Step 5: Solve for x
    x = 7,156,334,627.13/97,758.50
  6. Step 6: Final answer
    x = 73,204.22

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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.