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Finding the Fourth Proportional to 52,148.81, 71,977.82 and 30,940.38

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Solution

The fourth proportional to 52,148.81, 71,977.82 and 30,940.38 is: 42,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,148.81 : 71,977.82 = 30,940.38 : x
  2. Step 2: Convert to fraction form
    52,148.81/71,977.82 = 30,940.38/x
  3. Step 3: Cross multiply
    52,148.81x = 71,977.82 × 30,940.38
  4. Step 4: Simplify right side
    52,148.81x = 2,227,020,947.67
  5. Step 5: Solve for x
    x = 2,227,020,947.67/52,148.81
  6. Step 6: Final answer
    x = 42,705.11

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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.