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Finding the Fourth Proportional to 97,569, 134,645.76 and 52,857

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Solution

The fourth proportional to 97,569, 134,645.76 and 52,857 is: 72,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,569 : 134,645.76 = 52,857 : x
  2. Step 2: Convert to fraction form
    97,569/134,645.76 = 52,857/x
  3. Step 3: Cross multiply
    97,569x = 134,645.76 × 52,857
  4. Step 4: Simplify right side
    97,569x = 7,116,970,936.32
  5. Step 5: Solve for x
    x = 7,116,970,936.32/97,569
  6. Step 6: Final answer
    x = 72,942.95

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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.