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Finding the Fourth Proportional to 122,506.32, 183,642.84 and 39,342

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Solution

The fourth proportional to 122,506.32, 183,642.84 and 39,342 is: 58,975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,506.32 : 183,642.84 = 39,342 : x
  2. Step 2: Convert to fraction form
    122,506.32/183,642.84 = 39,342/x
  3. Step 3: Cross multiply
    122,506.32x = 183,642.84 × 39,342
  4. Step 4: Simplify right side
    122,506.32x = 7,224,876,611.28
  5. Step 5: Solve for x
    x = 7,224,876,611.28/122,506.32
  6. Step 6: Final answer
    x = 58,975.54

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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.