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Finding the Fourth Proportional to 97,575, 146,362.86 and 23,703

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Solution

The fourth proportional to 97,575, 146,362.86 and 23,703 is: 35,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,575 : 146,362.86 = 23,703 : x
  2. Step 2: Convert to fraction form
    97,575/146,362.86 = 23,703/x
  3. Step 3: Cross multiply
    97,575x = 146,362.86 × 23,703
  4. Step 4: Simplify right side
    97,575x = 3,469,238,870.58
  5. Step 5: Solve for x
    x = 3,469,238,870.58/97,575
  6. Step 6: Final answer
    x = 35,554.59

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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.