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Finding the Fourth Proportional to 28,537.50, 42,768.54 and 20,666.46

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Solution

The fourth proportional to 28,537.50, 42,768.54 and 20,666.46 is: 30,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,537.50 : 42,768.54 = 20,666.46 : x
  2. Step 2: Convert to fraction form
    28,537.50/42,768.54 = 20,666.46/x
  3. Step 3: Cross multiply
    28,537.50x = 42,768.54 × 20,666.46
  4. Step 4: Simplify right side
    28,537.50x = 883,874,321.17
  5. Step 5: Solve for x
    x = 883,874,321.17/28,537.50
  6. Step 6: Final answer
    x = 30,972.38

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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.