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Finding the Fourth Proportional to 72,878.36, 109,375.85 and 37,828.04

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Solution

The fourth proportional to 72,878.36, 109,375.85 and 37,828.04 is: 56,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,878.36 : 109,375.85 = 37,828.04 : x
  2. Step 2: Convert to fraction form
    72,878.36/109,375.85 = 37,828.04/x
  3. Step 3: Cross multiply
    72,878.36x = 109,375.85 × 37,828.04
  4. Step 4: Simplify right side
    72,878.36x = 4,137,473,576.52
  5. Step 5: Solve for x
    x = 4,137,473,576.52/72,878.36
  6. Step 6: Final answer
    x = 56,772.32

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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.