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Finding the Fourth Proportional to 52,017.69, 71,783.90 and 28,143.84

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Solution

The fourth proportional to 52,017.69, 71,783.90 and 28,143.84 is: 38,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,017.69 : 71,783.90 = 28,143.84 : x
  2. Step 2: Convert to fraction form
    52,017.69/71,783.90 = 28,143.84/x
  3. Step 3: Cross multiply
    52,017.69x = 71,783.90 × 28,143.84
  4. Step 4: Simplify right side
    52,017.69x = 2,020,274,096.54
  5. Step 5: Solve for x
    x = 2,020,274,096.54/52,017.69
  6. Step 6: Final answer
    x = 38,838.22

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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.