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Finding the Fourth Proportional to 97,685.86, 146,529.15 and 23,813.86

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Solution

The fourth proportional to 97,685.86, 146,529.15 and 23,813.86 is: 35,720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,685.86 : 146,529.15 = 23,813.86 : x
  2. Step 2: Convert to fraction form
    97,685.86/146,529.15 = 23,813.86/x
  3. Step 3: Cross multiply
    97,685.86x = 146,529.15 × 23,813.86
  4. Step 4: Simplify right side
    97,685.86x = 3,489,424,664.02
  5. Step 5: Solve for x
    x = 3,489,424,664.02/97,685.86
  6. Step 6: Final answer
    x = 35,720.88

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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.