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Finding the Fourth Proportional to 97,300, 134,274 and 52,588

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Solution

The fourth proportional to 97,300, 134,274 and 52,588 is: 72,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,300 : 134,274 = 52,588 : x
  2. Step 2: Convert to fraction form
    97,300/134,274 = 52,588/x
  3. Step 3: Cross multiply
    97,300x = 134,274 × 52,588
  4. Step 4: Simplify right side
    97,300x = 7,061,201,112
  5. Step 5: Solve for x
    x = 7,061,201,112/97,300
  6. Step 6: Final answer
    x = 72,571.44

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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.