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Finding the Fourth Proportional to 52,711.38, 72,744.93 and 30,362.58

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Solution

The fourth proportional to 52,711.38, 72,744.93 and 30,362.58 is: 41,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,711.38 : 72,744.93 = 30,362.58 : x
  2. Step 2: Convert to fraction form
    52,711.38/72,744.93 = 30,362.58/x
  3. Step 3: Cross multiply
    52,711.38x = 72,744.93 × 30,362.58
  4. Step 4: Simplify right side
    52,711.38x = 2,208,723,756.72
  5. Step 5: Solve for x
    x = 2,208,723,756.72/52,711.38
  6. Step 6: Final answer
    x = 41,902.22

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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.