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Finding the Fourth Proportional to 47,798.29, 71,697.42 and 22,762.43

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Solution

The fourth proportional to 47,798.29, 71,697.42 and 22,762.43 is: 34,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,798.29 : 71,697.42 = 22,762.43 : x
  2. Step 2: Convert to fraction form
    47,798.29/71,697.42 = 22,762.43/x
  3. Step 3: Cross multiply
    47,798.29x = 71,697.42 × 22,762.43
  4. Step 4: Simplify right side
    47,798.29x = 1,632,007,503.93
  5. Step 5: Solve for x
    x = 1,632,007,503.93/47,798.29
  6. Step 6: Final answer
    x = 34,143.64

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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.