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Finding the Fourth Proportional to 102,406.84, 153,679.42 and 35,847.48

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Solution

The fourth proportional to 102,406.84, 153,679.42 and 35,847.48 is: 53,795.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,406.84 : 153,679.42 = 35,847.48 : x
  2. Step 2: Convert to fraction form
    102,406.84/153,679.42 = 35,847.48/x
  3. Step 3: Cross multiply
    102,406.84x = 153,679.42 × 35,847.48
  4. Step 4: Simplify right side
    102,406.84x = 5,509,019,934.86
  5. Step 5: Solve for x
    x = 5,509,019,934.86/102,406.84
  6. Step 6: Final answer
    x = 53,795.43

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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.