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Finding the Fourth Proportional to 123,915.84, 185,880.80 and 35,162.32

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Solution

The fourth proportional to 123,915.84, 185,880.80 and 35,162.32 is: 52,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,915.84 : 185,880.80 = 35,162.32 : x
  2. Step 2: Convert to fraction form
    123,915.84/185,880.80 = 35,162.32/x
  3. Step 3: Cross multiply
    123,915.84x = 185,880.80 × 35,162.32
  4. Step 4: Simplify right side
    123,915.84x = 6,536,000,171.46
  5. Step 5: Solve for x
    x = 6,536,000,171.46/123,915.84
  6. Step 6: Final answer
    x = 52,745.48

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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.