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Finding the Fourth Proportional to 52,603.43, 78,905.44 and 17,542.98

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Solution

The fourth proportional to 52,603.43, 78,905.44 and 17,542.98 is: 26,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,603.43 : 78,905.44 = 17,542.98 : x
  2. Step 2: Convert to fraction form
    52,603.43/78,905.44 = 17,542.98/x
  3. Step 3: Cross multiply
    52,603.43x = 78,905.44 × 17,542.98
  4. Step 4: Simplify right side
    52,603.43x = 1,384,236,577.74
  5. Step 5: Solve for x
    x = 1,384,236,577.74/52,603.43
  6. Step 6: Final answer
    x = 26,314.57

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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.