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Finding the Fourth Proportional to 123,825.88, 185,611.74 and 48,915.64

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Solution

The fourth proportional to 123,825.88, 185,611.74 and 48,915.64 is: 73,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,825.88 : 185,611.74 = 48,915.64 : x
  2. Step 2: Convert to fraction form
    123,825.88/185,611.74 = 48,915.64/x
  3. Step 3: Cross multiply
    123,825.88x = 185,611.74 × 48,915.64
  4. Step 4: Simplify right side
    123,825.88x = 9,079,317,053.61
  5. Step 5: Solve for x
    x = 9,079,317,053.61/123,825.88
  6. Step 6: Final answer
    x = 73,323.26

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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.