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Finding the Fourth Proportional to 52,783.38, 72,842.25 and 30,121.92

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Solution

The fourth proportional to 52,783.38, 72,842.25 and 30,121.92 is: 41,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,783.38 : 72,842.25 = 30,121.92 : x
  2. Step 2: Convert to fraction form
    52,783.38/72,842.25 = 30,121.92/x
  3. Step 3: Cross multiply
    52,783.38x = 72,842.25 × 30,121.92
  4. Step 4: Simplify right side
    52,783.38x = 2,194,148,700.28
  5. Step 5: Solve for x
    x = 2,194,148,700.28/52,783.38
  6. Step 6: Final answer
    x = 41,568.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.