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Finding the Fourth Proportional to 52,397.49, 78,572.10 and 16,852.23

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Solution

The fourth proportional to 52,397.49, 78,572.10 and 16,852.23 is: 25,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,397.49 : 78,572.10 = 16,852.23 : x
  2. Step 2: Convert to fraction form
    52,397.49/78,572.10 = 16,852.23/x
  3. Step 3: Cross multiply
    52,397.49x = 78,572.10 × 16,852.23
  4. Step 4: Simplify right side
    52,397.49x = 1,324,115,100.78
  5. Step 5: Solve for x
    x = 1,324,115,100.78/52,397.49
  6. Step 6: Final answer
    x = 25,270.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.