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Finding the Fourth Proportional to 97,485, 146,228.30 and 23,613

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Solution

The fourth proportional to 97,485, 146,228.30 and 23,613 is: 35,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,485 : 146,228.30 = 23,613 : x
  2. Step 2: Convert to fraction form
    97,485/146,228.30 = 23,613/x
  3. Step 3: Cross multiply
    97,485x = 146,228.30 × 23,613
  4. Step 4: Simplify right side
    97,485x = 3,452,888,847.90
  5. Step 5: Solve for x
    x = 3,452,888,847.90/97,485
  6. Step 6: Final answer
    x = 35,419.69

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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.