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Finding the Fourth Proportional to 30,500.48, 42,057.24 and 19,870.40

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Solution

The fourth proportional to 30,500.48, 42,057.24 and 19,870.40 is: 27,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,500.48 : 42,057.24 = 19,870.40 : x
  2. Step 2: Convert to fraction form
    30,500.48/42,057.24 = 19,870.40/x
  3. Step 3: Cross multiply
    30,500.48x = 42,057.24 × 19,870.40
  4. Step 4: Simplify right side
    30,500.48x = 835,694,181.70
  5. Step 5: Solve for x
    x = 835,694,181.70/30,500.48
  6. Step 6: Final answer
    x = 27,399.38

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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.