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Finding the Fourth Proportional to 97,326, 134,310.06 and 52,614

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Solution

The fourth proportional to 97,326, 134,310.06 and 52,614 is: 72,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,326 : 134,310.06 = 52,614 : x
  2. Step 2: Convert to fraction form
    97,326/134,310.06 = 52,614/x
  3. Step 3: Cross multiply
    97,326x = 134,310.06 × 52,614
  4. Step 4: Simplify right side
    97,326x = 7,066,589,496.84
  5. Step 5: Solve for x
    x = 7,066,589,496.84/97,326
  6. Step 6: Final answer
    x = 72,607.42

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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.