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Finding the Fourth Proportional to 92,175.60, 138,228.84 and 39,558

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Solution

The fourth proportional to 92,175.60, 138,228.84 and 39,558 is: 59,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,175.60 : 138,228.84 = 39,558 : x
  2. Step 2: Convert to fraction form
    92,175.60/138,228.84 = 39,558/x
  3. Step 3: Cross multiply
    92,175.60x = 138,228.84 × 39,558
  4. Step 4: Simplify right side
    92,175.60x = 5,468,056,452.72
  5. Step 5: Solve for x
    x = 5,468,056,452.72/92,175.60
  6. Step 6: Final answer
    x = 59,322.17

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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.