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Finding the Fourth Proportional to 97,425, 134,446.50 and 52,713

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Solution

The fourth proportional to 97,425, 134,446.50 and 52,713 is: 72,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,425 : 134,446.50 = 52,713 : x
  2. Step 2: Convert to fraction form
    97,425/134,446.50 = 52,713/x
  3. Step 3: Cross multiply
    97,425x = 134,446.50 × 52,713
  4. Step 4: Simplify right side
    97,425x = 7,087,078,354.50
  5. Step 5: Solve for x
    x = 7,087,078,354.50/97,425
  6. Step 6: Final answer
    x = 72,743.94

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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.