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Finding the Fourth Proportional to 97,710, 146,565.12 and 23,838

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Solution

The fourth proportional to 97,710, 146,565.12 and 23,838 is: 35,757.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,710 : 146,565.12 = 23,838 : x
  2. Step 2: Convert to fraction form
    97,710/146,565.12 = 23,838/x
  3. Step 3: Cross multiply
    97,710x = 146,565.12 × 23,838
  4. Step 4: Simplify right side
    97,710x = 3,493,819,330.56
  5. Step 5: Solve for x
    x = 3,493,819,330.56/97,710
  6. Step 6: Final answer
    x = 35,757.03

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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.