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Finding the Fourth Proportional to 97,480, 146,220.72 and 23,608

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Solution

The fourth proportional to 97,480, 146,220.72 and 23,608 is: 35,412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,480 : 146,220.72 = 23,608 : x
  2. Step 2: Convert to fraction form
    97,480/146,220.72 = 23,608/x
  3. Step 3: Cross multiply
    97,480x = 146,220.72 × 23,608
  4. Step 4: Simplify right side
    97,480x = 3,451,978,757.76
  5. Step 5: Solve for x
    x = 3,451,978,757.76/97,480
  6. Step 6: Final answer
    x = 35,412.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.