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Finding the Fourth Proportional to 97,225.31, 134,171.02 and 52,513.31

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Solution

The fourth proportional to 97,225.31, 134,171.02 and 52,513.31 is: 72,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,225.31 : 134,171.02 = 52,513.31 : x
  2. Step 2: Convert to fraction form
    97,225.31/134,171.02 = 52,513.31/x
  3. Step 3: Cross multiply
    97,225.31x = 134,171.02 × 52,513.31
  4. Step 4: Simplify right side
    97,225.31x = 7,045,764,767.35
  5. Step 5: Solve for x
    x = 7,045,764,767.35/97,225.31
  6. Step 6: Final answer
    x = 72,468.42

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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.