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Finding the Fourth Proportional to 122,323.64, 183,505.96 and 38,064

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Solution

The fourth proportional to 122,323.64, 183,505.96 and 38,064 is: 57,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,323.64 : 183,505.96 = 38,064 : x
  2. Step 2: Convert to fraction form
    122,323.64/183,505.96 = 38,064/x
  3. Step 3: Cross multiply
    122,323.64x = 183,505.96 × 38,064
  4. Step 4: Simplify right side
    122,323.64x = 6,984,970,861.44
  5. Step 5: Solve for x
    x = 6,984,970,861.44/122,323.64
  6. Step 6: Final answer
    x = 57,102.38

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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.