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Finding the Fourth Proportional to 28,083.50, 42,137.55 and 13,302.98

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Solution

The fourth proportional to 28,083.50, 42,137.55 and 13,302.98 is: 19,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,083.50 : 42,137.55 = 13,302.98 : x
  2. Step 2: Convert to fraction form
    28,083.50/42,137.55 = 13,302.98/x
  3. Step 3: Cross multiply
    28,083.50x = 42,137.55 × 13,302.98
  4. Step 4: Simplify right side
    28,083.50x = 560,554,984.90
  5. Step 5: Solve for x
    x = 560,554,984.90/28,083.50
  6. Step 6: Final answer
    x = 19,960.30

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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.