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Finding the Fourth Proportional to 52,104.35, 78,175.35 and 20,496.96

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Solution

The fourth proportional to 52,104.35, 78,175.35 and 20,496.96 is: 30,752.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,104.35 : 78,175.35 = 20,496.96 : x
  2. Step 2: Convert to fraction form
    52,104.35/78,175.35 = 20,496.96/x
  3. Step 3: Cross multiply
    52,104.35x = 78,175.35 × 20,496.96
  4. Step 4: Simplify right side
    52,104.35x = 1,602,356,631.06
  5. Step 5: Solve for x
    x = 1,602,356,631.06/52,104.35
  6. Step 6: Final answer
    x = 30,752.84

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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.