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Finding the Fourth Proportional to 52,535.80, 78,813.42 and 17,006.50

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Solution

The fourth proportional to 52,535.80, 78,813.42 and 17,006.50 is: 25,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,535.80 : 78,813.42 = 17,006.50 : x
  2. Step 2: Convert to fraction form
    52,535.80/78,813.42 = 17,006.50/x
  3. Step 3: Cross multiply
    52,535.80x = 78,813.42 × 17,006.50
  4. Step 4: Simplify right side
    52,535.80x = 1,340,340,427.23
  5. Step 5: Solve for x
    x = 1,340,340,427.23/52,535.80
  6. Step 6: Final answer
    x = 25,512.90

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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.