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Finding the Fourth Proportional to 97,508, 146,262 and 23,636

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Solution

The fourth proportional to 97,508, 146,262 and 23,636 is: 35,454

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,508 : 146,262 = 23,636 : x
  2. Step 2: Convert to fraction form
    97,508/146,262 = 23,636/x
  3. Step 3: Cross multiply
    97,508x = 146,262 × 23,636
  4. Step 4: Simplify right side
    97,508x = 3,457,048,632
  5. Step 5: Solve for x
    x = 3,457,048,632/97,508
  6. Step 6: Final answer
    x = 35,454

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