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Finding the Fourth Proportional to 102,571.96, 153,821.46 and 39,396.82

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Solution

The fourth proportional to 102,571.96, 153,821.46 and 39,396.82 is: 59,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,571.96 : 153,821.46 = 39,396.82 : x
  2. Step 2: Convert to fraction form
    102,571.96/153,821.46 = 39,396.82/x
  3. Step 3: Cross multiply
    102,571.96x = 153,821.46 × 39,396.82
  4. Step 4: Simplify right side
    102,571.96x = 6,060,076,371.76
  5. Step 5: Solve for x
    x = 6,060,076,371.76/102,571.96
  6. Step 6: Final answer
    x = 59,081.22

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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.