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Finding the Fourth Proportional to 97,959, 135,184.50 and 53,247

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Solution

The fourth proportional to 97,959, 135,184.50 and 53,247 is: 73,481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,959 : 135,184.50 = 53,247 : x
  2. Step 2: Convert to fraction form
    97,959/135,184.50 = 53,247/x
  3. Step 3: Cross multiply
    97,959x = 135,184.50 × 53,247
  4. Step 4: Simplify right side
    97,959x = 7,198,169,071.50
  5. Step 5: Solve for x
    x = 7,198,169,071.50/97,959
  6. Step 6: Final answer
    x = 73,481.45

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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.