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Finding the Fourth Proportional to 62,092.34, 93,138.54 and 20,539.34

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Solution

The fourth proportional to 62,092.34, 93,138.54 and 20,539.34 is: 30,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,092.34 : 93,138.54 = 20,539.34 : x
  2. Step 2: Convert to fraction form
    62,092.34/93,138.54 = 20,539.34/x
  3. Step 3: Cross multiply
    62,092.34x = 93,138.54 × 20,539.34
  4. Step 4: Simplify right side
    62,092.34x = 1,913,004,140.16
  5. Step 5: Solve for x
    x = 1,913,004,140.16/62,092.34
  6. Step 6: Final answer
    x = 30,809.02

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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.